# Lectures, seminars and dissertations

* Dates within the next 7 days are marked by a star.

Anne Schreuder (Cambridge University)

**On Lévy-driven Loewner Evolutions **

*** ** Thursday 08 December 2022, 10:15, Y405

This talk is about the behaviour of Loewner evolutions driven by a Lévy process. Schramm's celebrated version (Schramm-Loewner evolution), driven by standard Brownian motion, has been a great success for describing critical interfaces in statistical physics. Loewner evolutions with other random drivers have been proposed, for instance, as candidates for finding extremal multifractal spectra, and some tree-like growth processes in statistical physics. Questions on how the Loewner trace behaves, e.g., whether it is generated by a (discontinuous) curve, whether it is locally connected, tree-like, or forest-like, have been partially answered in the symmetric alpha-stable case. We consider the case of general Levy drivers. Joint work with Eveliina Peltola (Aalto and Bonn).

mathematical physics seminar (Kytölä, Peltola, Sahlsten)

Vivian Healey (Texas State University)

**TBA**

Thursday 15 December 2022, 10:15, Y405

mathematical physics seminar (Kytölä, Peltola, Sahlsten)

Rahinatou Yuh Njah

**Lattice-based cryptography (NB: unusual time!)**

Thursday 15 December 2022, 13:15, M3 (M234)

ANTA Seminar

Tuomas Tuukkanen (Princeton & Aalto)

**[MSc thesis presentation]**

Friday 16 December 2022, 11:00, M3 (M234)

mathematical physics seminar (Kytölä / Peltola / Sahlsten)

Tuomas Sahlsten

**TBA**

Wednesday 18 January 2023, 12:15, M3 (M234)

Seminar on analysis and geometry

Wilmar Bolanos

**TBA**

Wednesday 18 January 2023, 16:15, M3 (M234)

ANTA Seminar

**Systeemitieteiden kandidaattiseminaari / Bachelor seminar in systems analysis**

Friday 20 January 2023, 09:30, Riihi (Y225a)

Further information

Prof. Alexandru Paler

**Graph states and the challenges for efficient quantum circuit compilation**

Wednesday 25 January 2023, 16:15, M3 (M234)

Graphs can be used as a diagrammatic representation of entangled states: vertices represent qubits, and edges are the entangling gates performed between the qubits. Arbitrary quantum circuits can be compiled into a fault-tolerant gate set, and the resulting circuit can be reformulated as a graph state. Such graphs can be manipulated by local operations (single qubit/vertex gates) such that edges are added and removed in a well defined manner during a process called local complementation. The latter might have interesting applications for the optimisation of (fault-tolerant) quantum circuits, quantum communication networks and in general whenever, either: a) there is a need to minimize the number of edges (entangling gates) without affecting the functionality of the state, or b) the state has to be embedded into a quantum hardware architecture that has a different connectivity. This talk is partially based on the work from https://arxiv.org/abs/2209.07345

ANTA Seminar

**Systeemitieteiden kandidaattiseminaari / Bachelor seminar in systems analysis**

Monday 06 March 2023, 09:30, Riihi (Y225a)

Further information

Stephen Moore (Institute of Mathematics Polish Academy of Sciences)

**TBA**

Thursday 09 March 2023, 10:15,

mathematical physics seminar (Kytölä, Peltola, Sahlsten)

**Systeemitieteiden kandidaattiseminaari / Bachelor seminar in systems analysis**

Monday 17 April 2023, 09:30, Riihi (Y225a)

Further information

**Systeemitieteiden kandidaattiseminaari / Bachelor seminar in systems analysis**

Tuesday 16 May 2023, 09:30, Riihi (Y225a)

Further information

**Systeemitieteiden kandidaattiseminaari / Bachelor seminar in systems analysis**

Friday 16 June 2023, 09:30, Riihi (Y225a)

Further information

## Past events

Delara Behzad (Aalto University)

**On Schubert derivation and applications**

Thursday 01 December 2022, 10:15, Y405

mathematical physics seminar (Kytölä, Peltola, Sahlsten)

Okko Makkonen

**Complexity of matrix multiplication**

Wednesday 30 November 2022, 16:15, M3 (M234)

The complexity of matrix multiplication represents the number of operations needed to compute a matrix product in the asymptotic limit. The first advance in asymptotic complexity was made in 1969 when Strassen introduced an algorithm that is capable of computing the product of two N × N matrices with O(N^{2.81}) operations, which is better than the naive algorithm that takes O(N^3) operations. The current record is an algorithm that is able to compute the product using just O(N^{2.372}) operations. We present the basic tools that are used to analyze this problem and present an algorithm that is even better than the Strassen algorithm. This includes studying the matrix multiplication tensor, its rank, and the so-called border rank.

ANTA Seminar

Lauri Särkiö

**Parabolic Lipschitz truncation**

Wednesday 30 November 2022, 12:15, M3 (M234)

Seminar on analysis and geometry

**Systeemitieteiden kandidaattiseminaari / Bachelor seminar in systems analysis**

Wednesday 30 November 2022, 09:30, Riihi (Y225a)

Further information

Dissertation

DI, VTM Emma-Karoliina Kurki

**Weight theory on bounded domains and metric measure spaces**

Friday 25 November 2022, 12:00, M1 (M232)

ForAlli

**Ad hoc formalization (ForAlli monthly special)**

Thursday 24 November 2022, 16:15, M2 (M233)

ForAlli

Delara Behzad (Aalto University)

**On Schubert derivation and applications**

Thursday 24 November 2022, 10:15, Y405

mathematical physics seminar (Kytölä, Peltola, Sahlsten)

Sheldy Ombrosi

**Theory of weights in regular trees**

Wednesday 23 November 2022, 12:15, M3 (M234)

Seminar on analysis and geometry

Olli Huopio

**Master Thesis Talk : A sensor fusion algorithm for land vehicle positioning**

Monday 21 November 2022, 14:00, Riihi (Y225a)

Alex Karrila (Åbo Akademi)

**The phases of random Lipschitz functions on the honeycomb lattice**

Monday 21 November 2022, 11:00, Y229a

stochastics and mathematical physics seminar (Kytölä, Leskelä, Peltola)

Teemu Lundström

**Yamada Polynomials from Transfer-Matrix Methods**

Friday 18 November 2022, 14:15, M237

Spatial graphs are graphs that are embedded in three-dimensional space. They are in some sense a generalization of knots and the theory of spatial graphs is closely related to knot theory. In knot theory, one can distinguish between two inequivalent knots by computing some algebraic invartiant of them, for example, the Jones polynomial. Similar invariants have been invented for spatial graphs and one important such invariant is the Yamada Polynomial, first introduced by Shuji Yamada in 1989. In this talk I will introduce spatial graphs and the Yamada polynomial defined for them. I will focus on computing the polynomial for certain classes of graphs that have a layer-like structure. Computing the Yamada polynomial for a spatial graph can be computationally demanding, but by focusing on such graphs we are able to apply the so called transfer-matrix method with which we are able to find a closed form formula for two infinite families of spatial graphs.

Algebra and Discrete Mathematics Seminar

Johan Lindell (first speaker), Salla Tanskanen (second speaker), Matias Koponen (third speaker, topic presentation)

**Bachelor's thesis presentations**

Wednesday 16 November 2022, 15:15, M2 (M233)

Further information

Kim Myyryläinen

**A weighted fractional Poincare inequality, Part 2**

Wednesday 16 November 2022, 12:15, M3 (M234)

Seminar on analysis and geometry

Pengmin Hua (PhD midterm review talk)

**Optimal control of indoor thermal comfort based on district heating with thermal energy storage**

Monday 14 November 2022, 11:00, Y229c

PhD midterm review talks

Kirthivaasan Puniamurthy (PhD midterm review talk)

**On proving adaptive security for Yao's garbling scheme**

Monday 14 November 2022, 10:00, Y229c

PhD midterm review talks

Niklas Miller (PhD midterm review talk)

**Lattice point enumeration and wiretap decoding probability estimates**

Monday 14 November 2022, 09:00, Y229c

PhD midterm review talks

Paul Van Dooren

**Social Balance, Gossiping and Riccati Equations**

Friday 11 November 2022, 13:30, M203

Social networks with positive and negative links often split into two antagonistic factions. Examples of such a split abound: revolutionaries versus an old regime, Republicans versus Democrats, Axis versus Allies during the second world war, or the Western versus the Eastern bloc during the Cold War. Although this structure, known as social balance, is well understood, it is not clear how such
factions emerge. An earlier model could explain the formation of such factions if reputations were assumed to be symmetric. We show this is not the case for non-symmetric reputations, and propose an alternative model which (almost) always leads to social balance, thereby explaining the tendency of social networks to split into
two factions. In addition, the alternative model may lead to cooperation when faced with defectors, contrary to the earlier model. The difference between the two models may be understood in terms of
the underlying gossiping mechanism: whereas the earlier model assumed that an individual adjusts his opinion about somebody by gossiping about that person with everybody in the network, we assume instead that the individual gossips with that person about everybody. It turns out that the alternative model is able to lead to cooperative behavior, unlike the previous model.

Osama Abuzaid (PhD midterm review talk)

**On self avoiding random walks and Schramm Loewner evolutions**

Thursday 10 November 2022, 13:00, M2 (M233)

PhD midterm review talks

Serge Kas Hanna

**Introduction to federated learning**

Wednesday 09 November 2022, 16:15, M3 (M234)

Distributed learning (DL) is a machine learning (ML) setting where several parties (e.g., mobile devices or computer clusters) collaboratively train an ML model under the orchestration of a central entity. DL can be applied in the case where the data is centralized, i.e., owned by a single entity, and also when the data is decentralized, i.e., owned by several parties. In the centralized data setting, DL is attractive when the data is too large for one entity to process by itself. Here, a central entity can make the learning process tractable by distributing the data across several helper nodes and outsourcing part of the computations. The DL setting can also present itself naturally when the training data is owned by several decentralized parties.
Federated learning (FL) is a branch of DL where the data is decentralized and owned by several independent parties who agree to collaboratively train an ML model but want to maintain the privacy of their local data. In addition to privacy, communication efficiency is also a first-order concern in FL, especially when the data is owned by several mobile devices operating over a network.
In this talk, I will introduce distributed learning and federated learning and discuss some of the challenges associated with such distributed systems. I will also explain how basic optimization algorithms, such as gradient descent, can be applied to distributed learning and adapted to the setting of federated learning.

ANTA Seminar

Muhammad Ardiyansyah (Aalto University)

**Dimensions of the factor analysis model and its higher order generalizations**

Wednesday 09 November 2022, 15:00, M2 (M233)

The factor analysis model is a statistical model where a certain number of hidden random variables, called factors, affect linearly the behaviour of another set of observed random variables, with additional random noise. The main assumption of the model is that the factors and the noise are Gaussian random variables. In this talk, we do not assume that the factors and the noise are Gaussian, hence the higher order moment and cumulant tensors of the observed variables are generally nonzero. This motivates the generalized notion of kth-order factor analysis model, that is the family of all random vectors in a factor analysis model where the factors and the noise have finite and possibly nonzero moment and cumulant tensors up to order k. This subset may be described as the image of a polynomial map onto a Cartesian product of symmetric tensor spaces. We provide its dimension and conditions under which the image has positive codimension. This talk is based on joint work with Luca Sodomaco.

Algebra and Discrete Mathematics Seminar

Kim Myyryläinen

**A weighted fractional Poincare inequality, Part 1**

Wednesday 09 November 2022, 12:15, M3 (M234)

Seminar on analysis and geometry

talk canceled / rescheduled to a later time

**talk canceled / rescheduled to a later time**

Thursday 03 November 2022, 10:15,

mathematical physics seminar (Kytölä, Peltola, Sahlsten)

Wontae Kim

**Existence theory for the parabolic double phase problem**

Wednesday 02 November 2022, 12:15, M3 (M234)

The classical approach in existence theory does not give the existence and uniqueness of the weak solution to this problem since the function space for the gradient of weak solutions involves the time variable. We discuss the recent approach to the existence theories and how the regularity results are able to be applied to the existence theory.

Seminar on analysis and geometry

ForAlli

**Views on formalization of mathematics**

Thursday 27 October 2022, 16:15, M2 (M233)

We will watch the recordings from Microsoft Research Summit session "Empowering mathematicians with technology" (provided they are available).

ForAlli

Ellen Powell (Durham University)

**Characterising the Gaussian free field**

Thursday 27 October 2022, 10:15, Y405

I will discuss recent approaches to characterising the Gaussian free field in the plane, and in higher dimensions. The talk will be based on joint work with Juhan Aru, Nathanael Berestycki, and Gourab Ray.

mathematical physics seminar (Kytölä, Peltola, Sahlsten)

**Systeemitieteiden kandidaattiseminaari / Bachelor seminar in systems analysis**

Thursday 27 October 2022, 09:30, Riihi (Y225a)

Further information

Tapani Matala-aho

**A criterion for irrationality**

Wednesday 26 October 2022, 16:15, M3 (M234)

Take your favorite real or p-adic number, say Phi. Let us assume there exist nice rational approximations for your number. Then these approximations will be written as numerical linear forms. We will give a criterion for the irrationality of your number by using a sequence of these numerical linear forms. Moreover, a lower bound is given for the quantity N*Phi-M, where N, M are integers and N is nonzero. However, it is a challenge to find an appropriate sequence of numerical linear forms for an arbitrary number. In this lecture we will not consider this problem. But we note, if your number is a value of a Taylor series or a (generalized) continued fraction, then we may build a candidate sequence from the truncated series or Padé approximations or use the convergents of the continued fraction.

ANTA Seminar

Asadollah Aghajani

**Liouville type results for quasilininear elliptic equations with gradient dependence**

Wednesday 26 October 2022, 12:15, M3 (M234)

Seminar on analysis and geometry

Lisa Nicklasson (Università di Genova)

**Ideals arising from Bayesian networks**

Thursday 20 October 2022, 11:15, Zoom

Further information

A Bayesian network is a statistical model which can be presented graphically by a directed acyclic graph. The nodes in the graph are discrete random variables, and the edges encode dependencies between the variables. Bayesian nets can also be described algebraically as varieties of homogeneous prime ideals. In this talk we will discuss connections between algebraic properties of such ideals and combinatorial properties of the graphs. In particular, we would like to understand when the variety is toric and when the ideal is quadratic.

Algebra and Discrete Mathematics Seminar

Caroline Wormell (Sorbonne, Paris)

**Decay of correlations for conditional measures and some applications**

Thursday 20 October 2022, 10:15, Y228b

The forward evolution of chaotic systems notoriously washes out inexact information about their state. When advected by a chaotic system, physically relevant measures therefore often converge to some reference measure, usually the SRB measures. This property implies various important statistical behaviours of chaotic systems.
In this talk we discuss the behaviour of slices of these physical measures along smooth submanifolds that are reasonably generic (e.g. not stable or unstable manifolds). We give evidence that such conditional measures also have exponential convergence back to the full SRB measures, even though they lack the regularity usually required for this to occur (for example, they may be Cantor measures). Using Fourier dimension results, we will prove that CDoC holds in a class of generalised baker's maps, and we will give rigorous numerical evidence in its favour for some non-Markovian piecewise hyperbolic maps. CDoC naturally encodes the idea of long-term forecasting of systems using perfect partial observations, and appears key to a rigorous understanding of the emergence of linear response in high-dimensional systems.

Mathematical physics seminar

Emanuel Carneiro (ICTP Trieste)

**On sign Fourier uncertainty**

Wednesday 19 October 2022, 12:15, M3 (M234)

The quest to find the sharp forms of functional inequalities has always been a beautiful and challenging theme in analysis. In this talk we will discuss a few sharp inequalities related to Fourier uncertainty principles. We address the problem of prescribing the sign of a function and its Fourier transform at infinity, and doing this in an optimal way (in an appropriate sense). This phenomenon was introduced by Bourgain, Kahane and Clozel in 2010 under the name of "sign Fourier uncertainty", and brings interesting connections to the sphere packing problem.

Seminar on analysis and geometry

Gregory Arone (Stockholm University)

**The S_n-equivariant topology of partition complexes**

Thursday 13 October 2022, 11:15, M2 (M233)

Let n be a positive integer. Consider the poset of partitions of the set {1, ... , n}, ordered by refinement. Its geometric realization is a topological space that encodes information about the combinatorial properties of the partition poset. We obtain a sequence of spaces T_1, T_2, ..., T_n, ...,. In fact it is a symmetric sequence of spaces, by which we mean that the n-th space T_n has a natural action of the symmetric group S_n.
These spaces have many interesting properties, and they arise in a number of places in mathematics, from the study of Lie algebras to algebraic topology to mathematical biology. We will survey some of the properties and applications of the spaces T_1, ..., T_n,..., focusing on the properties of the action of the symmetric groups. In particular, we will give a "branching rule" that describes the restriction of T_n to a Young subgroup of S_n (this is joint work with Lukas Brantner). The proof uses discrete Morse theory, and it generalizes many previous results. I will show some applications and some open questions.

Algebra and Discrete Mathematics Seminar

Augustin Lafay (Aalto)

**Geometrical lattice models, algebraic spiders and applications to random geometry**

Thursday 13 October 2022, 11:00, Y228b

mathematical physics seminar (Kytölä / Peltola / Sahlsten)

Milo Orlich (Aalto)

**Asymptotic results on Betti numbers of edge ideals of graphs via critical graphs**

Thursday 06 October 2022, 11:15, M2 (M233)

To any graph G one can associate its edge ideal. One of the most famous results in combinatorial commutative algebra, Hochster's formula, describes the Betti numbers of the edge ideal in terms of combinatorial information on the graph G. More explicitly, each specific Betti number is given in terms of the presence of certain induced subgraphs in G. The machinery of critical graphs, relatively recently introduced by Balogh and Butterfield, deals with characterizing asymptotically the structure of graphs based on their induced subgraphs. In a joint work with Alexander Engström, we apply these techniques to Betti numbers and regularity of edge ideals. We introduce parabolic Betti numbers, which constitute a non-trivial portion of the Betti table. Usually, the vanishing of a Betti number has little impact on the rest of the Betti table. I this talk I will describe our main results, which show that on the other hand the vanishing of a parabolic Betti number determines asymptotically the structure and regularity of the graphs with that Betti number equal to zero.

Algebra and Discrete Mathematics Seminar

Mikhail Basok (University of Helsinki)

**Dimer model on Riemann surfaces and compactified free field**

Thursday 06 October 2022, 11:00, Y228b

We consider a random height function associated with the dimer model on a graph embedded into a Riemann surface. Given a sequence of such graphs approximating the surface in a certain sense we prove that the corresponding sequence of height functions converges to the compactified free field on the surface. To establish this result we follow approach developed by Dubédat: we introduce a family of observables of the model which can be expressed as determinants of discrete perturbed Cauchy-Riemann operators, we analyze the latter using Quillen curvature formula.

mathematical physics seminar (Kytölä / Peltola / Sahlsten)

Ragnar Freij-Hollanti

**Combinatorial derived matroids**

Wednesday 05 October 2022, 16:15, M3 (M234)

Let M be an arbitrary matroid. In the 70's, Gian-Carlo Rota and Henry Crapo asked for a natural definition of a matroid dM that has as its ground set the collection of (co)circuits of M. We will first survey two earlier such constructions, namely the Exley-Wang derived matroid, and (co)-adjoint lattices. These constructions have several nice properties, but are only defined for certain special classes of matroids, and are not necessarily unique. We will then introduce a recent construction by the speaker, called combinatorial derived matroids. These are uniquely defined for any matroid M, but computing them has proven an elusive task. We will give all the definitions, compute some illuminating examples, and offer a few conjectures. This is joint work with Relinde Jurrius and Olga Kuznetsova.

ANTA Seminar

Mohamed Serry (University of Waterloo)

**Physics of phonation offset: towards understanding relative fundamental frequency observations**

Thursday 29 September 2022, 13:15, M2 (M233)

Relative fundamental frequency (RFF) is a promising assessment technique for vocal pathologies. Herein, we explore the underlying laryngeal factors dictating RFF behaviors during phonation offset. To gain physical insights, we investigate a simple analytical impact
oscillator model and follow that with a numerical study using the well-established bodycover model of the vocal folds (VFs). Study of the impact oscillator suggests that the observed decrease in fundamental frequency during offset is due, at least in part, to the decrease in collision forces during abduction. Moreover, the impact oscillator elucidates a correlation between sharper drops in RFF and increased stiffness of the VFs, supporting experimental RFF studies. The body-cover model study further emphasizes the correlation between the drops in RFF and collision forces and displays the potential role of the cricothyroid muscle to mitigate the RFF reduction.

Applied Mathematics / David Radnell

Tobias Boege (Aalto University)

**Ingleton's inequality for entropies**

Wednesday 28 September 2022, 14:00, Y307

The Ingleton inequality is a necessary condition for a matroid to be linearly representable and it comes in the form of a linear inequality in its rank function. In a probability-theoretic reinterpretation of the inequality, linear subspaces are replaced by discrete random variables and ranks by Shannon entropies. In this setting, the Ingleton inequality no longer holds universally for representable rank functions but only if additional linear constraints are assumed.
In this talk, I give an overview of these so-called conditional Ingleton inequalities, their historical roots and my own contribution to finishing their classification for four discrete random variables.

Algebra and discrete mathematics seminar

Heini Kanerva

**Master thesis talk : Detection of spruces damaged by the European spruce bark beetle from unmanned aerial vehicle imagery using deep learning**

Friday 23 September 2022, 13:00, M134

Detection of spruces damaged by
the European spruce bark beetle
from unmanned aerial vehicle
imagery using deep learning

**Systeemitieteiden kandidaattiseminaari / Bachelor seminar in systems analysis**

Friday 23 September 2022, 09:30, Riihi (Y225a)

Further information

**Matematiikan kandidaattiseminaari / Bachelor seminar in mathematics**

Friday 23 September 2022, 09:15, Y308

Further information

Joe Thomas (Durham)

**Quantum Unique Ergodicity for random bases on Cayley Graphs**

Monday 19 September 2022, 14:15, M3 (M234)

The quantum unique ergodicity conjecture is a long-standing open problem concerning the extent to which eigenfunctions of the Laplacian on a manifold are delocalised in the presence of ergodic classical dynamics. Similar enquires have also taken place in the discrete setting which can be seen as a toy model for the continuous case. In this talk, I will review notions of quantum (unique) ergodicity in the setting of regular graphs. I will then discuss some recent joint work with Michael Magee (Durham) and Yufei Zhao (MIT) where we show the existence of an abundance of bases of eigenfunctions that satisfy a quantum unique ergodicity result in the setting of Cayley graphs.

Seminar / Tuomas Sahlsten

Elif Sacikara

**q-Analogues of Matroids**

Wednesday 14 September 2022, 16:15, M3 (M234)

In combinatorics, a q-analog of a discrete structure is defined by replacing finite sets with finite dimensional vector spaces. On the other hand, matroids are defined as a combinatorial abstraction of several objects such as linearly independent vectors or graphs.
In this talk, we first define a matroid with certain equivalent axiomatic definitions by supporting them with examples. Then we discuss their q-analogs by comparing differences and similarities with the classical case. Finally, as a construction and an application of a q-matroid, we mention their relation with a q-analog of other combinatorial objects called designs, and state some open questions.
This work is a part of the research project supported by Women in Numbers - Europe.

ANTA Seminar

Pavlo Yatsyna

**How many variables will it take?**

Wednesday 07 September 2022, 16:15, M3 (M234)

This talk will be about the representation of integers by quadratic forms. We will survey what is known about the quadratic forms that represent all eligible integers of totally real number fields. It will include the recent results, from the joint work with Vitezslav Kala, Dayoon Park, and Blazej Zmija, on the density of real quadratic number fields that have a universal quadratic form with a fixed number of variables.

ANTA Seminar

**Matematiikan kandidaattiseminaari / Bachelor seminar in mathematics**

Friday 02 September 2022, 09:15, M1 (M232)

Further information

**Systeemitieteiden kandidaattiseminaari / Bachelor seminar in systems analysis**

Friday 26 August 2022, 09:30, Riihi (Y225a)

Further information

Guilherme Sales Santa Cruz

**On Assessing Valuation Robots (Master's thesis presentation)**

Monday 15 August 2022, 15:15, Zoom

Further information

Dr Vinay Kumar BR (INRIA Sophia Antipolis)

**A probabilistic broadcast mechanism on random geometric graphs**

Friday 12 August 2022, 11:00, M3 (M234)

We consider the problem of energy-efficient broadcasting on homogeneous random geometric graphs (RGGs) within a large finite box around the origin. A source node at the origin encodes $k$ data packets of information into $n\ (>k)$ coded packets and transmits them to all its one-hop neighbors. The encoding is such that, any node that receives at least $k$ out of the $n$ coded packets can retrieve the original $k$ data packets. Every other node in the network follows a probabilistic forwarding protocol; upon reception of a previously unreceived packet, the node forwards it with probability $p$ and does nothing with probability $1-p$. We are interested in the minimum forwarding probability which ensures that a large fraction of nodes can decode the information from the source. We deem this a \emph{near-broadcast}. The performance metric of interest is the expected total number of transmissions at this minimum forwarding probability, where the expectation is over both the forwarding protocol as well as the realization of the RGG. In comparison to probabilistic forwarding with no coding, our treatment of the problem indicates that, with a judicious choice of $n$, it is possible to reduce the expected total number of transmissions while ensuring a near-broadcast. Techniques from continuum percolation and ergodic theory are used to characterize the probabilistic broadcast algorithm.
Joint work with Navin Kashyap and D. Yogeshwaran

Aalto Stochastic & Statistics Seminar / Lasse Leskelä

Dr. Matteo Mucciconi (University of Warwick)

**Some recent results in Integrable Probability**

Tuesday 02 August 2022, 14:00, M3 (M234)

In the last 25 years the study of solvable growth models related to the Kardar-Parisi-Zhang (KPZ) stochastic partial differential equation uncovered connections with a number of seemingly unrelated fields including representation theory, combinatorics, Integrable Systems and so on. This program, commonly referred to as Integrable Probability, delivered a host of remarkable successes, including the characterization of new universal processes or the explicit solution of the KPZ equation under certain initial data. In this talk I will review some of these progresses, highlighting some recent ones.

Mathematical physics seminar / Shinji Koshida

Vili Nieminen

**Local Poisson's Equation Approximation by Probabilistic Algorithm (Master Thesis talk)**

Thursday 21 July 2022, 14:00, M203

Konsta Holopainen

**On predicting performance in heart failure patients (Master's thesis presentation)**

Monday 27 June 2022, 14:15, M3 (M234)

Tuomo Valtonen (BSc presentation)

**List-decoding of Reed-Solomon codes**

Friday 17 June 2022, 11:00, M1 (M232)

ANTA Seminar

Olli Pasanen (Patria)

**On Bayesian methods for program authorship attribution**

Friday 17 June 2022, 10:15, M3 (M234)

**Matematiikan kandiseminaari / Bachelor seminar (mathematics)**

Friday 17 June 2022, 09:15, M1 (M232)

Further information

**Systeemitieteiden kandidaattiseminaari / Bachelor seminar in systems analysis**

Wednesday 15 June 2022, 09:30, Riihi (Y225a)

Further information

The link to the zoom-meeting is available from Juho Roponen

**Matematiikan kandiseminaari / Bachelor seminar (mathematics)**

Friday 10 June 2022, 09:15, M240

Further information

Kandityöesitelmät:
(n. 9.15) Henri Lahdelma: Lämpöyhtälön ratkaisujen sileys ja derivaattojen estimaatit.
(n. 9.45) Kasper Lahtonen: Investing with hidden Markov models.
(n. 10.15) Leo Laitinen: Homeogeenisen kappaleen MRI-signaali yleisteyillä gradienttikentillä.
Aihe-esittelyt (kandityöesitelmien jälkeen):
Joona Lindell,
Teemu Korhonen,
Tommi Huhtinen.

Joanna Bisch (University of Lille)

**Functions of symmetric Toeplitz matrices**

Tuesday 07 June 2022, 14:15, M3 (M234)

Elmer Bergman (Aalto University)

**Connectivity of passive random intersection graphs and their intersection with ErdősRényi graphs**

Monday 30 May 2022, 14:15, M3 (M234)

This thesis studies the connectivity of passive random intersection graphs. In addition to this, it studies the connectivity of an intersection between a passive random intersection graph and an ErdősRényi graph. Random intersection graphs can be used to model many real-life phenomena. For example, social networks and communication in sensor networks can be modelled by random intersection graphs.
A random intersection graph is a random graph, where nodes are assigned attributes according to some random process. Two nodes are connected by an edge if they have at least one attribute in common. For a passive random intersection graph, each attribute is given a number according to some probability distribution. Each attribute then chooses that number of nodes, uniformly at random from the whole set of nodes. The chosen nodes are given the respective attribute. Two nodes are thus connected, if at least one attribute chooses them both.
This thesis presents zero-one laws on passive random intersection graphs being connected and not having isolated nodes. This thesis also presents zero-one laws on the intersection between a passive random intersection graph and an ErdősRényi graph, being connected and not having isolated nodes.

MSc thesis presentation / Lasse Leskelä

Prof. Andreas Rupp (LUT University)

**Partial differential equations on hypergraphs and networks of surfaces: Derivation and hybrid discretizations**

Wednesday 18 May 2022, 14:15, M2 (M233)

Prof. Paul Van Dooren

**A voting system with a fixed point or how to judge the judges**

Tuesday 17 May 2022, 14:45, M1 (M232)

A voting system is presented that is based on an iterative procedure converging to a unique fixed point. The votes expressed by p raters regarding the reputation of n items, go into a p × n voting matrix X, which is possibly sparse when each rater does not evaluate all items. From this matrix X, a unique rating of the considered items is finally obtained via an iterative procedure which updates as well the reputations of the n items and that of the p raters. The proposed method converges linearly to the unique vector of reputations and this for any rating matrix. We also show how it can be used to detect fraudulous voters. We give some possible applications of this voting system.

**Systeemitieteiden kandidaattiseminaari / Bachelor seminar in systems analysis**

Wednesday 11 May 2022, 09:30, Riihi (Y225a)

Further information

Joonatan Honkamaa (kandiesitelmä)

**Johdatus homomorfisen salauksen menetelmiin ja nykytilaan**

Friday 22 April 2022, 09:15, M1 (M232)

ANTA Seminar

**Matematiikan kandiseminaari / Bachelor seminar (mathematics)**

Friday 22 April 2022, 09:15, M1 (M232)

Program: hhttps://mycourses.aalto.fi/course/view.php?id=34597§ion=3

Wontae Kim

**Higher integrability of the parabolic double phase system**

Wednesday 20 April 2022, 12:15, M3 (M234)

Seminar on analysis and geometry

Tarmo Kivioja

**Master thesis talk: Estimating the covariance of scan registration based on the distribution-to-distribution normal distributions transform**

Thursday 14 April 2022, 13:00, M2 (M233)

Prof. Ivan Blanco-Chacon

**Modular repersentations II: potentially diagonalisable modular lifts of large weights**

Wednesday 13 April 2022, 15:15, M3 (M234) and Zoom

Further information

This talk is an exposition of [1], where we produce modular representations of arbitrary weight lifting a given representation of fixed weight satisfying certain local properties at a given prime. This work has its motivation in the Langlands functoriality for GL(2), a topic which we will also comment about. It is highly advisable to have attended the first introductory talk.
[1]: Blanco-Chacon, I., Dieulefait, L.: "Potentially diagonalisable modular lifts of large weights". Journal of Number Theory, 228, 188-207 (2021).

ANTA Seminar

Niko Sairo

**Paperin laadun ennustamisesta (Master's thesis presentation)**

Thursday 07 April 2022, 19:00, M3 (M234)

Prof. Ivan Blanco-Chacon

**On the R/P-LWE equivalence for cyclotomic subextensions and cryptoanalytic implications**

Monday 04 April 2022, 12:00, M3 and Zoom

Further information

NB: different zoom address! In this talk we address the equivalence between the RLWE and the PLWE problems for the maximal totally real subextension of the cyclotomic field of conductor 2^rpq, with p, q primes, joint work with López-Hernanz. These fields have been recently used to cryptoanalyse several cyclotomic instances. Likewise, we will show that these fields are immune under one of the attacks presented by Lauter et al in 2016 against PLWE. If time permits, we will comment our ongoing work towards the generalisation of this equivalence to abelian Q-extensions.

ANTA Seminar

Kristian Moring

**Stability for the porous medium system**

Wednesday 30 March 2022, 12:15, M3 (M234)

Seminar on analysis and geometry

Niklas Miller

**Lattice-based cryptography: learning with errors over cyclic algebras (part 2)**

Wednesday 23 March 2022, 15:15, M3 (M234) and Zoom

Further information

Since the introduction of the learning with errors (LWE) problem in 2005, various variants of this problem have emerged. Notably, RLWE is a variant which adds a ring structure to LWE samples, to reduce key size, for a potential loss in security. In this talk, I will present an article by Grover, Mendelsohn, Ling and Vehkalahti, where they introduce yet another variant, CLWE, where the samples come from orders of cyclic algebras. CLWE can be seen as a structured variant of module learning with errors (MLWE). CLWE is claimed to provide computational efficiency and security.

ANTA Seminar

Carlos Perez

**On the two weight problem for two maximal functions: the case of cubes and the case of rectangles**

Wednesday 23 March 2022, 12:15, M3 (M234)

Seminar on analysis and geometry

**Systeemitieteiden kandidaattiseminaari / Bachelor seminar in systems analysis**

Thursday 17 March 2022, 09:30, Kappa (M222)

Further information

Julian Weigt

**A Vitali/Besicovitch covering theorem for the boundary**

Wednesday 16 March 2022, 12:15, M3 (M234)

Seminar on analysis and geometry

Rahinatou Njah

**Doctoral studies mid-term review talk: Algebraic number theory and applications to security**

Friday 11 March 2022, 11:00, Zoom

Further information

ANTA

Dr. Tapani Matala-aho

**Hermite-Thue equation: Padé approximations and Siegel's lemma, Part 4**

Wednesday 09 March 2022, 15:15, M3 and Zoom

Further information

Padé approximations and Siegel's lemma are widely used tools in Diophantine approximation theory.
The homogeneous matrix equation representing both methods has an M x (L+1) coefficient matrix, where M is at most L. Due to the Bombieri-Vaaler version of Siegel's lemma, the upper bound of the minimal non-zero solution of the matrix equation can be improved by finding a big common factor of all the M x M minors of the coefficient matrix. Further, in the case M = L, the existence of this common factor is a step towards understanding the nature of the 'twin-type' Hermite-Padé approximations to the exponential function.
In this second lecture we reproduce the classical type II Hermite-Padé approximations of the exponential series by computing the homogeneous vector of the L x L minors (Cramer's rule).
These minors are Vandermonde-type block determinants which are challenging to unwrap.
For that we introduce appropriate determinant calculus tools which have interest of their own sake.
Joint work with Louna Seppälä.

ANTA Seminar

Cintia Pacchiano

**Stability for quasiminimizers of a (p,q)-Dirichlet integral**

Wednesday 09 March 2022, 12:15, M3 (M234)

Seminar on analysis and geometry

**Matematiikan kandiseminaari / Bachelor seminar (mathematics)**

Friday 04 March 2022, 09:15, M237

Program: https://mycourses.aalto.fi/course/view.php?id=34597§ion=3

Emma-Karoliina Kurki

**Characterizing A1 and RH-infinity on metric measure spaces**

Wednesday 02 March 2022, 12:15, M3 (M234)

Seminar on analysis and geometry

Uula Ollila

**Master Thesis Talk : Accelerating Convolutional Neural Network Inference on Digital Signal Processor**

Friday 25 February 2022, 10:00, Zoom

Further information

https://aalto.zoom.us/j/7736264770

Dr. Tapani Matala-aho

**Hermite-Thue equation: Padé approximations and Siegel's lemma, Part 3**

Wednesday 23 February 2022, 15:15, M3 and Zoom

Further information

Padé approximations and Siegel's lemma are widely used tools in Diophantine approximation theory.
The homogeneous matrix equation representing both methods has an M x (L+1) coefficient matrix, where M is at most L. Due to the Bombieri-Vaaler version of Siegel's lemma, the upper bound of the minimal non-zero solution of the matrix equation can be improved by finding a big common factor of all the M x M minors of the coefficient matrix. Further, in the case M = L, the existence of this common factor is a step towards understanding the nature of the 'twin-type' Hermite-Padé approximations to the exponential function.
In this second lecture we reproduce the classical type II Hermite-Padé approximations of the exponential series by computing the homogeneous vector of the L x L minors (Cramer's rule).
These minors are Vandermonde-type block determinants which are challenging to unwrap.
For that we introduce appropriate determinant calculus tools which have interest of their own sake.
Joint work with Louna Seppälä.

ANTA Seminar

Carlos Perez

**Generalized Poincaré Inequalities and Harmonic Analysis**

Wednesday 23 February 2022, 12:15, M3 (M234)

Seminar on analysis and geometry

**Systeemitieteiden kandidaattiseminaari / Bachelor seminar in systems analysis**

Monday 21 February 2022, 09:30, Zoom

Further information

The link to the zoom-meeting is available from Juho Roponen

Niklas Miller

**Lattice-based cryptography: learning with errors over cyclic algebras (part 1)**

Wednesday 09 February 2022, 15:15, M3 (M234) and Zoom

Further information

Since the introduction of the learning with errors (LWE) problem in 2005, various variants of this problem have emerged. Notably, RLWE is a variant which adds a ring structure to LWE samples, to reduce key size, for a potential loss in security. In this talk, I will present an article by Grover, Mendelsohn, Ling and Vehkalahti, where they introduce yet another variant, CLWE, where the samples come from orders of cyclic algebras. CLWE can be seen as a structured variant of module learning with errors (MLWE). CLWE is claimed to provide computational efficiency and security.

ANTA Seminar

Kim Myyryläinen

**A weak Gurov-Reshetnyak class. Part 2**

Wednesday 09 February 2022, 12:15, M3 (M234)

Seminar on analysis and geometry

Dr. Tapani Matala-aho, Niklas Miller, and Rahinatou Njah

**Mini Math Days (talks from the Finnish math days)**

Wednesday 02 February 2022, 16:15, M3 (M234) and Zoom

Further information

ANTA Seminar

Kim Myyryläinen

**A weak Gurov-Reshetnyak class. Part 1**

Wednesday 02 February 2022, 12:15, M3 (M234)

Seminar on analysis and geometry

Matteo Allaix

**Introduction to Quantum Error Correction (Part 2)**

Wednesday 26 January 2022, 15:15, M3 (M234) and Zoom

Further information

In this seminar, we will first show the Quantum Teleportation algorithm, one of the most important known quantum algorithms. After a short description of quantum channels and quantum noise, we will finally show an example of a 3-qubit quantum error correction algorithm.

ANTA Seminar

Wontae Kim

**Some extensions on the higher integrability of the parabolic p-Laplace system**

Wednesday 26 January 2022, 12:15, M3 (M234)

Seminar on analysis and geometry

**Systeemitieteiden kandidaattiseminaari / Bachelor seminar in systems analysis**

Friday 21 January 2022, 09:30, Zoom

Further information

The link to the zoom-meeting is available from Juho Roponen

Dr. Tapani Matala-aho

**Hermite-Thue equation: Padé approximations and Siegel's lemma, Part 2**

Wednesday 19 January 2022, 16:15, M3 and Zoom

Further information

Padé approximations and Siegel's lemma are widely used tools in Diophantine approximation theory.
The homogeneous matrix equation representing both methods has an M x (L+1) coefficient matrix, where M is at most L. Due to the Bombieri-Vaaler version of Siegel's lemma, the upper bound of the minimal non-zero solution of the matrix equation can be improved by finding a big common factor of all the M x M minors of the coefficient matrix. Further, in the case M = L, the existence of this common factor is a step towards understanding the nature of the 'twin-type' Hermite-Padé approximations to the exponential function.
In this second lecture we reproduce the classical type II Hermite-Padé approximations of the exponential series by computing the homogeneous vector of the L x L minors (Cramer's rule).
These minors are Vandermonde-type block determinants which are challenging to unwrap.
For that we introduce appropriate determinant calculus tools which have interest of their own sake.
Joint work with Louna Seppälä.

ANTA Seminar

Timo Takala

**An interesting example of a JNp function**

Wednesday 19 January 2022, 12:15, M3 (M234)

Seminar on analysis and geometry

Olle Hallqvist Elias (Alfréd Rényi Institute of Mathematics)

**Interlacements and the GFF**

Friday 14 January 2022, 14:00, Zoom

Further information

mathematical physics, Kytölä & Peltola

Ommolbanin Behzad (University of Isfahan)

**Exterior powers, Polynomial rings, and Representation of Lie Algebras**

Friday 14 January 2022, 11:00, Zoom

Further information

I will report on some recent work of myself, A.Contiero and D. Martins about representing lie algebras of vector space endomorphisms on exterior algebras, seeing it as the finite type case of the celebrated DJKM bosonic vertex operator representation of gl_∞(Q).

mathematical physics, Kytölä & Peltola

Olga Chekeres (University of Connecticut)

**Quantum Wilson surfaces and topological interactions**

Tuesday 04 January 2022, 17:00, Zoom

Further information

mathematical physics, Kytölä & Peltola

Julien Roussillon (KTH)

**Confluence of correlation functions in Liouville theory**

Monday 03 January 2022, 11:00, Zoom

Further information

mathematical physics, Kytölä & Peltola

Okko Makkonen

**New schemes for secure distributed matrix multiplication (MSc thesis presentation)**

Friday 17 December 2021, 13:00, M3 (M234) and Zoom

Further information

ANTA Seminar

MSc Joona Karjalainen (Aalto, candidate) & Prof. Remco van der Hofstad (TU Eindhoven, opponent)

**Structure and estimation of network models with overlapping communities (DSc defence)**

Friday 17 December 2021, 12:00, M1 (M232)

Further information

Live video stream: https://aalto.zoom.us/j/65777606406
Abstract: Many types of data in different fields of science can be naturally represented as networks. Social relationships in groups of people, the structure of the internet, and traffic networks can all be understood as collections of nodes and connections between them. Real-world networks often show signs of community structure, i.e., some groups of nodes are more densely connected to each other than to the rest of the nodes. Since communities may emerge through many different mechanisms, it is natural to describe these networks with statistical models where the communities are allowed to overlap. Even in the absence of obvious communities, various other types of structure are commonly observed in data. For example, the degrees of adjacent nodes tend to be correlated, and node pairs have an increased probability of being adjacent if they have common neighbors.
This dissertation is concerned with the structure of large and sparse statistical network models with overlapping communities. This structure is described using statistical quantities and distributions and their limits as the number of nodes tends to infinity. The focus is on the asymptotic behavior of subgraph frequencies, joint degree distributions of adjacent nodes, and various summary statistics. New results are proved on their convergence, and exact formulas are provided for their limits. These results lead to new estimators of the model parameters based on counting the frequencies of small subgraphs. The consistency of these estimators is proved under complete or partly incomplete data.
The results show that the models have structural similarities with many real-world networks, such as non-trivial clustering, degree correlations, and power laws. This illustrates how some empirical observations on network data can be explained with an underlying overlapping community structure.

Perttu Saarela

**On coding theory and private information retrieval: A new robust scheme for Reed-Muller codes (MSc thesis presentation)**

Friday 17 December 2021, 12:00, M3 (M234) and Zoom

Further information

ANTA Seminar

Gabriele Rembado (Bonn)

**Singular modules for affine Lie algebras and applications to irregular WZNW conformal blocks**

Thursday 16 December 2021, 15:15, M2 (M233)

Eveliina Peltola

Marc Härkönen (Georgia Institute of Technology)

**Solving PDE with nonlinear algebra**

Thursday 16 December 2021, 11:00, M3 (M234) and https://aalto.zoom.us/j/66578928227

In an undergraduate differential equations course we learn to solve a linear ordinary differential equation by factoring the characteristic polynomial. This works also for in more generality for linear PDE with constant coefficients, where primary decomposition of ideals and modules plays the role of factorization. The celebrated Fundamental Theorem by Ehrenpreis and Palamodov equates the primary components to families of solutions for the corresponding PDE. This yields an alternative characterization of an ideal or module as a set of solutions to a PDE, which can be exploited in computations. In this talk I will present some historical notes along with some recent algorithmic advances in this direction.

Kubjas

Ifrah Sheikh

**Kierretyn nauhan mallinnuspalkkina Kirchhoffin yhtälön avulla**

Wednesday 15 December 2021, 14:15, Zoom

Further information

Kandidaatintyö

Harri.Hakula@aalto.fi

Niklas Miller

**On tame lattices**

Wednesday 15 December 2021, 09:30, Zoom

Further information

Tame lattices were introduced in 2020 by Mantilla-Soler and Damir, to capture the key properties of lattices arising from tame abelian number fields of either prime degree or conductor, via the Minkowski embedding. Families of well-rounded sublattices of tame lattices were constructed to generalize the observations of Costa et al., that certain submodules of the ring of integers of tame number fields of odd prime degree produce well-rounded lattices.
Later the packing density of well-rounded tame sublattices was characterized and it was also noted that they are either generic well-rounded or similar to the root lattice A_n. Tame well-rounded sublattices closely resemble nearly orthogonal lattices, which have a basis of almost orthogonal vectors. In a 2020 paper by Fukshansky et al., nearly orthogonal well-rounded lattices were studied in more detail, and it was shown that they are, among other things, not local maxima to the sphere packing density function.

ANTA Seminar

Marianne Honkasaari

**On Optimization of the Logistics Related to Recycling of Nutrients in Wastewater Sludges (Master's thesis presentation)**

Tuesday 14 December 2021, 15:00, Zoom

Further information

Roosa Ilvonen

**Using simulated TMS-EEG data in source localization analysis**

Tuesday 14 December 2021, 14:15, Zoom

Further information

Kandidaatintyö: https://aalto.zoom.us/j/67770051751

Harri.Hakula@aalto.fi

Mikko Seesto

**Machine learning with qubits: Experimental realisation of a quantum kernel method**

Tuesday 14 December 2021, 10:00, M3 (M234)

Prof. Joachim Schöberl

**NGSolve - A finite element package for teaching and research**

Thursday 09 December 2021, 13:15, Zoom

Further information

Matteo Allaix

**Introduction to Quantum Error Correction**

Wednesday 08 December 2021, 14:15, M3 (M234)

In this seminar, we will introduce some definitions of quantum information theory in order to describe some quantum error correction algorithms. We will first define density operators and mixed state to introduce the Von Neumann entropy and some distance measures for quantum systems. After a brief review of classical error correction, we will show an example in the quantum setting.

ANTA Seminar

Lauri Särkiö (masters thesis talk)

**Local higher integrability of the parabolic p-Laplace equation**

Wednesday 08 December 2021, 12:15, M3 (M234)

Seminar on analysis and geometry

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