Department of Mathematics and Systems Analysis

Current

Lectures, seminars and dissertations

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

SAL Seminar: Joona Lindell
Identification and analysis of vital vertices within protein-protein interaction networks
* Monday 09 February 2026,   15:00,   M2 (M233)
Identifying vital proteins in organisms is a long-standing problem within biological applications. Procedures to find significant clusters of proteins which have a lot of interactions with other proteins and thus would be a vital part of the organism, is a significant research question as identifying such proteins can offer ways to combat diseases through new treatment methods and vaccines. The work here focuses on different species of Leishmania, which are a subtropical parasitic organism causing a disease called leishmaniasis. These species' proteins are studied, and interactions are predicted to formulate protein-protein interaction networks. The networks are studied and two well known NP-complete problems are considered: the maximum clique problem and the minimum vertex cover problem. Due to the problem's computational complexity, several alternative heuristic approaches utilizing network centrality measurements are formulated and studied.
SAL Seminar

Professor Anders Christian Hansen, University of Cambridge, UK
Necessary mechanisms for super AI and stopping hallucinations: The consistent reasoning paradox and the indeterminacy function.
* Tuesday 10 February 2026,   15:15,   M1 (M232)
Creating Artificial Super Intelligence (ASI) (AI that surpasses human intelligence) is the ultimate challenge in AI research. This is, as we will discuss, fundamentally linked to the problem of avoiding hallucinations (wrong, yet plausible answers) in AI. We will describe a key mechanism that must be present in any ASI. This mechanism is not present in any modern chatbot and we will discuss how, without it, ASI will never be achievable. Moreover, we reveal that AI missing this mechanism will always hallucinate. Specifically, this mechanism is the computation of what we call an indeterminacy function. An indeterminacy function determines when an AI is correct and when it will not be able to answer with 100% confidence. The root to these findings is the Consistent Reasoning Paradox (CRP), which is a new paradox in logical reasoning that we will describe in the talk. The CRP shows that the above mechanism must be present as – surprisingly – an ASI that is ‘pretty sure’ (more than 50%) can rewrite itself to become 100% certain. It will compute an indeterminacy function and either be correct with 100% confidence, or it will not be more than 50% sure. The CRP addresses a long-standing issue that stems from Turing’s famous statement that infallible AI cannot be intelligent, where he questions how much intelligence may be displayed if an AI makes no pretence at infallibility. The CRP answers this – consistent reasoning requires fallibility – and thus marks a necessary fundamental shift in AI design if ASI is to ever be achieved and hallucinations to be stopped.
Department Colloquim

Sid Maibach (Bonn)
TBA
* Wednesday 11 February 2026,   10:15,   Y313

Santra Uusitalo
Real-Time 3D Semantic Segmentation for Augmented Reality Head-Up Displays (Master thesis talk)
* Thursday 12 February 2026,   14:00,   M205

Anestis Tzogias (U. Neuchatel)
The Arakelov class group and hard cryptographic problems on ideal lattices
* Thursday 12 February 2026,   16:00,   M237
Euclidean lattices are a trendy topic from the applied side, as they are a very promising candidate for constructing quantum-resistant cryptographic protocols, based on hard problems such as the Shortest Vector Problem (SVP). Ideal lattices are a class of lattices coming from ideals in number fields, and recently they have been getting attention for allowing efficient implementation of cryptographic lattice protocols, with perhaps the most famous being based on the Learning With Errors problem. From the mathematical side, the space of all ideal lattices up to isometry is an object well-known to number theorists, called the Arakelov class group. We will discuss a result of de Boer et al. which uses random walks on the topological structure of the Arakelov class group and the Extended Riemann Hypothesis to relate the average-case and worst-case instances of the SVP problem on ideal lattices.
ANTA Seminar / Hollanti et al.

Andrew Swan (EPFL)
TBA
Monday 16 February 2026,   10:00,  
Mathematical physics seminar

Emilia Takanen (Aalto)
What is algebraic topology in relation to algebraic geometry? + Midterm review
Monday 16 February 2026,   14:15,   M3 (M234)
TBA
AGC

Dr. Lucas Hataishi (University of Oxford)
Higher genus symmetric enveloping algebras from factorization homology
Tuesday 17 February 2026,   10:15,   M3 (M234)
A complex algebra equipped with a conjugate-linear involution which can be faithfully represented as a norm-closed algebra of bounded operators on a Hilbert space is called a C-algebra. Examples include the algebra of continuous functions on a locally compact Hausdorff space vanishing at infinity. This is indeed the unique class of commutative C-algebras up to isomorphism. All relations between locally compact Hausdorff spaces can be translated as relation between their algebra of functions, and thus the theory of C*-algebras can be considered a generalization of the theory of locally compact spaces. It offers a framework in which to study algebras of observables in quantum field theory. In this talk, I will discuss aspects of a recent construction of 2-dimensional topological quantum field theories (TQFTs) from certain inclusions of C-algebras, which we call discrete. I will explain how this notion is an axiomatization of the fixed point subalgebra of a compact group action on a C-algebra. Starting from such an inclusion, the value of the resulting TQFT on a disk is characterized by an associated C*-algebra, called the symmetric enveloping algebra; a concrete realization of an abstract object that have appeared in the algebraic approach to conformal field theories, in the theory of quantum groups and of subfactors. The values of the TQFT on other surfaces give extensions of the symmetric enveloping algebra which come equipped with actions of the mapping class groups.

Romain Usciati (Paris-Saclay)
TBA
Tuesday 24 February 2026,   10:15,   M3 (M234)

Milla Laurikkala
Midterm review
Tuesday 24 February 2026,   11:15,   M2 (M233)

Lorenzo Zacchini (Aalto University)
Fractional integrals on spaces of homogeneous type
Wednesday 25 February 2026,   10:15,   M3 (M234)
Analysis seminar / Hytönen

Theo Elenius
Midterm review
Wednesday 04 March 2026,   10:15,   M3 (M234)
Seminar on analysis and geometry

Eetu Reijonen
On the effect of socioeconomic conditions on population health --- Prediction of disease burden in OECD countries (MSc thesis presentation)
Monday 09 March 2026,   15:15,   Y405

Dr. John Urschel (MIT)
TBA
Tuesday 10 March 2026,   15:15,   U5 (U147)

Riku Anttila (University of Jyväskylä)
TBA
Wednesday 11 March 2026,   10:15,   M3 (M234)
Seminar on analysis and geometry

Sylvester Eriksson-Bique (University of Jyväskylä)
TBA
Wednesday 11 March 2026,   11:15,   M3 (M234)
Seminar on analysis and geometry

Matematiikan kandiseminaari (Bachelor thesis seminar in Math.)
Thursday 12 March 2026,   09:00,   TBA
Further information
Ohjelma: https://mycourses.aalto.fi/course/view.php?id=34597#module-908887

MSc Ian Välimaa (Aalto)
TBA (Mid-term review)
Monday 20 April 2026,   14:15,   M3 (M234)
Aalto Stochastics & Statistics Seminar / Leskelä

Matematiikan kandiseminaari (Bachelor thesis seminar in Math.)
Friday 08 May 2026,   09:00,   TBA
Further information
Ohjelma: https://mycourses.aalto.fi/course/view.php?id=34597#module-908887

Matematiikan kandiseminaari (Bachelor thesis seminar in Math.)
Monday 15 June 2026,   09:00,   TBA
Further information
Ohjelma: https://mycourses.aalto.fi/course/view.php?id=34597#module-908887

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