This Week in Mathematics


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Beyond Feb 14, 2026

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Tuesday February 17, 2026

Applied and Computational Mathematics [url]
Non-potential mean-field games à la Benamou-Brenier
- Dr. Levon Nurbekyan, Emory University
Time: 3:05 Room: 231

Thursday February 19, 2026

Financial Math

- Navid Bahadoran,
Time: 3.05 Room: LOV 231

Thursday February 19, 2026

Algebra seminar
TBA
- Jeremy Booher, University of Florida
Time: 3:05pm Room: LOV 232
Abstract/Desc: TBA

Friday February 20, 2026

Mathematics Colloquium [url]
Bridging Schroedinger and Bass for generative diffusion modeling
- Nizar Touzi, NYU
Time: 3:05 Room: Lov 101
Abstract/Desc: Generative models aim to approximate an unknown probability distribution mu on Rd using a finite sample of independent draws from mu. Motivated by variance-preserving score-based diffusion models, we introduce a new diffusion-based transport plan on path space that is optimal with respect to a criterion combining entropy minimization and stabilization of the quadratic variation. The resulting transport plan can be interpreted as an interpolation between the Schroedinger bridge and the Bass solution from martingale optimal transport. The proposed method has a computational complexity comparable to that of state-of-the-art approaches, while yielding a significant improvement in generation quality.

Friday February 20, 2026

Mathematics Colloquium [url]
Bridging Shrödinger and Bass for generative diffusion modeling
- Nizar Touzi, NYU
Time: 3:05 Room: 101
Abstract/Desc: Generative models aim to approximate an unknown probability distribution μ on Rd using a finite sample of independent draws from μ. Motivated by variance-preserving score-based diffusion models, we introduce a new diffusion-based transport plan on path space that is optimal with respect to a criterion combining entropy minimization and stabilization of the quadratic variation. The resulting transport plan can be interpreted as an interpolation between the Schrödinger bridge and the Bass solution from martingale optimal transport. The proposed method has a computational complexity comparable to that of state-of-the-art approaches, while yielding a significant improvement in generation quality.

Wednesday February 25, 2026

Applied and Computational Mathematics [url]
Classifying material topology in real space using matrix homotopy
- Alexander Cerjan, Center for Integrated Nanotechnologies, Sandia National Laboratories
Time: 3:05 Room: 231
Abstract/Desc: The classification of topological phases of matter has traditionally relied on assumptions about the underlying material, requiring that the material be an insulator with a well-defined band structure. However, many experimentally relevant systems violate one or more of these assumptions, raising fundamental questions about how topology should be defined and diagnosed in realistic settings. In this talk, I will present an overview of these outstanding challenges and describe how a real-space, operator-based approach called the spectral localizer framework provides a platform-agnostic unifying theory capable of addressing these challenges. In particular, the spectral localizer enables the formulation of local, energy-resolved topological markers that remain well-defined in systems lacking a global spectral gap, translational symmetry, or sharp interfaces. This perspective allows one to meaningfully classify gapless heterostructures, such as photonic systems embedded in air, and can be applied directly to continuum models without first finding a low-energy approximation. Beyond stable topological phases, the spectral localizer also offers new insights into recently identified classes of topology, including fragile topological phases that induce Wannier obstructions resulting in novel forms of quantum materials. I will discuss applications of these ideas to nonlinear polariton systems to achieve reconfigurable topological interfaces and to electronic platforms such as two-dimensional electron gases in semiconductor heterostructures to show the emergence of Hofstadter’s butterfly for intermediate scales of the periodic potential’s strength, demonstrating the versatility of the spectral localizer as a general tool for topological classification in modern materials physics.

Thursday February 26, 2026

Algebra seminar
TBA
- Yupeng Li, Michigan State
Time: 3:05pm Room: Zoom
Abstract/Desc: TBA

Thursday February 26, 2026

Financial Math
TBA
- Petter Kolm, NYU Courant Institute of Mathematical Sciences
Time: 3.05 Room: LOV 231

Tuesday March 03, 2026

- Sam Ballas, FSU
Time: 3:05PM Room: LOV 232

Thursday March 05, 2026

Financial Math

- Ololade Sowunmi,
Time: 3.05 Room: LOV 231

Thursday March 05, 2026

Algebra seminar
TBA
- Haoyang Liu, UCSB
Time: 3:05pm Room: Zoom
Abstract/Desc: TBA

Tuesday March 10, 2026

- Nir Gadish, UPenn
Time: 3:05PM Room: LOV 232

Thursday March 12, 2026

Financial Math

- Gökçe Dayanıklı, University of Illinois Urbana-Champaign
Time: 3.05 Room: LOV 231

Thursday March 26, 2026

Algebra seminar
TBA
- Hung-Chun Yu, FSU
Time: 3:05pm Room: LOV 0232
Abstract/Desc: TBA

Thursday April 02, 2026

Algebra seminar
TBA
- Jeffery Liu, FSU
Time: 3:05pm Room: LOV 0232
Abstract/Desc: TBA

Thursday April 09, 2026

Algebra seminar
TBA
- Sabrina Pauli, TU Darmstadt
Time: 3:05pm Room: Zoom
Abstract/Desc: TBA

Thursday April 09, 2026

Financial Math
TBD
- Xin Zhang, New York University
Time: 3.05 Room: LOV 231

Thursday April 16, 2026

Financial Math

- Munawar Ali,
Time: 3.05 Room: LOV 231

Thursday April 16, 2026

Algebra seminar
TBA
- Ananyo Dan, CUNEF Universidad
Time: 3:05pm Room: Zoom
Abstract/Desc: TBA

Thursday April 23, 2026

Financial Math

- Daniel Mazus,
Time: 3.05 Room: LOV 231

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Department of Mathematics

This Week in Mathematics