Seminar for Young Researchers

The seminar takes place in the rooms Iota and Eta on Fridays at 12:15–13:15.

Mathematicians, statisticians, students, researchers - Everyone is welcome.

In the spring we will award the best speaker with the traditional Truly Awesome Robust Honorary Award. The T.A.R.H.A. prize is awarded for the seventh time. The awarded person is chosen by a public vote.

If you are willing to give a talk or have any questions you can contact
Miika Manu (miika.a.manu[at]jyu.fi),
Tuomas Niemi (tuomas.a.niemi[at]jyu.fi), or
Onni Hinkkanen (onni.u.i.hinkkanen[at]jyu.fi).

Talks in Fall 2026

2.10. @Iota: Janne Taipalus: Sobolev Spaces on Extended Metric Measure Spaces

Abstract: In this talk we learn how to do first-order Sobolev calculus when our space has points that are infinitely far apart. Most notable example of this is an abstract Wiener space: A Banach space with a certain Hilbert space in it known as Cameron-Martin space. We learn a couple of different definitions for the Sobolev space and get to know a handy compactification trick. Talk is based on joint works with Enrico Pasqualetto and Timo Schultz.

9.10. @Iota: Leevi Arffman: Lichnerowicz–Obata theorem

Abstract: The Lichnerowicz–Obata theorem establishes a connection between curvature bounded and closed Riemannian manifolds and the Laplace–Beltrami operator. Lichnerowicz’s estimate provides a sharp estimate on the first eigenvalue of the Laplace–Beltrami operator λ1 ≥ na/n−1 , on a suitable Riemannian manifold that satisfies Ric ≥ ag > 0, for some a > 0. Obata’s rigidity theorem states that there exists a smooth function satisfying the equation ∇i∇j f = −c2fgij , if and only if the manifold is isometric to the Euclidean sphere. Combining these results, we get the Lichnerowicz–Obata theorem, which states that in the Lichnerowicz’s inequality, equality is achieved if and only if the manifold is isometric to the Euclidean sphere. In this presentation, I will present the proof of the theorem and some of the problems I encountered when proving the theorem.

23.10. @Iota: Eetu Satukangas: Singularities of the geodesic flow in gas giant geometry

Abstract: A gas giant manifold is a compact Riemannian manifold with boundary where the metric blows up conformally up to the boundary. For certain rates of blow-up one can choose a smooth structure so that the geodesic flow of the geometry as a Hamiltonian flow is sufficiently smooth up to the boundary but surprisingly such a smooth structure does not exist if the blow-up of the gas giant metric is weak and the geometry is close to smooth Riemannian geometry. In this talk I will present a construction, derived via vector calculus and basic ODE theory, that handles this singular behavior of the geodesic flow in gas giant geometry.

30.10. @Iota: Miro Arvila: Introduction to topological data analysis

Abstract: Topological data analysis (TDA) provides methods for studying the shape and structure of data. It aims to identify geometric and topological features, such as connected components, loops, and holes, which may not be captured by conventional statistical summaries. In this talk we will look at the two most popular TDA methods : Mapper and persistent homology.

6.11. @Eta: TBA: TBD

Abstract: TBD

13.11. @Eta: Shubham Jaiswal: TBD

Abstract: TBD

20.11. @Eta: Ritu Attri: TBD

Abstract: TBD

27.11. @Eta: Mikko Väänänen: What Should We Measure Next? Finding Identification Strategies by Refining Mechanisms

Abstract: Canonical approaches in causal inference treat model specification as fixed, assuming that researchers directly translate all relevant domain knowledge into a causal model, which can then be used to deduce its logical implications. Yet, in practical applications, model specification is often an iterative process, and involves exploration and introspection: of the many aspects of the phenomenon one could investigate, which ones actually matter for the identification of the causal effect of interest? In this paper we study the problem of iterative identification in partially specified causal models. We focus on determining where observing variables that intercept a direct effect or a confounding path between two variables could enable identification in semi-Markovian models. We give necessary and sufficient graphical conditions for when observing such variables can render an unidentifiable query identifiable, together with an efficient algorithm for locating all such opportunities in a given causal diagram. Our results can help analysts better navigate the model space by drawing attention to the parts of their substantive knowledge that could result in a successful identification strategy.

4.12. @Eta: Ahan Nandi: TBD

Abstract: TBD

11.12. @Eta: Rene Hirvelä: TBD

Abstract: TBD

18.12. Awarding of the Truly Awesome Robust Honorary Award

Abstract: We will award the seventh edition of T.A.R.H.A. to the most popular speaker of the spring chosen by a public vote.

Previous organizers

Riku Anttila
Janne Taipalus
Miro Arvila
Antti Kykkänen
Janne Nurminen
Tapio Kurkinen
Timo Schultz
Ville Kivioja

Previous T.A.R.H.A award winners

Miika Manu (Spring 2026)
Tuomas Niemi (Spring 2025)
Veikko Vuolasto (Autumn 2024)
Damian Dabrowski (Spring 2024)
Tapio Kurkinen (Autumn 2023)
Henri Hänninen (Spring 2023)

Previous seminars

Spring 2026

Spring 2025

Fall 2024

Spring 2024

Fall 2023

Spring 2023

Fall 2022

Spring 2020

Autumn 2019

Autumn 2018

Autumn 2017

Spring 2014