- All Seminars
- Actuarial Science Seminar
- Algebra Seminar
- Analysis Learning Seminar
- Analysis and Probability Seminar
- Cluster Algebras Seminar
- Connecticut Logic Seminar
- Discrete Mathematics Seminar and Statistical Mechanics Seminar
- Math Club Talks
- Mathematics Colloquium
- Mathematics Education Seminar
- Mathematical Finance Seminar
- Ph.D. Defense
- PDE and Differential Geometry Seminar
- S.I.G.M.A. Seminar
- UConn Logic Colloquium

## All Seminars

- 2/22
*S.I.G.M.A. Seminar*

"What is... An Elliptic Curve?" From Bitcoin to Self-Driving Vehicles

Emma Previato - 2/22
*Analysis and Probability Seminar*

Discrete Curvature: a brief overview

Prasad Tetali (Georgia Tech) - 2/22
*Analysis Learning Seminar*

Title: Asymptotically hyperbolic manifolds in General Relativity

Hyun Jang - 2/25
*PDE and Differential Geometry Seminar*

Title TBA

Speaker TBA. - 2/27
*Algebra Seminar*

Title TBA

Speaker TBA - 2/27
*Math Club*

Zero Sets of Polynomials: Analytic vs Geometric Regularity

Matthew Badger (UConn) - 2/28
*Mathematics Colloquium*

The HRT Conjecture

Kasso Okoudjou (University of Maryland/MIT) - 3/1
*Analysis Learning Seminar*

Title: State transfer in quantum spin chains

Maksym Derevyagin - 3/4
*PDE and Differential Geometry Seminar*

Xiaodong Wang

Michigan State University - 3/4
*Geometric Flow Seminar*

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S.I.G.M.A. Seminar

"What is... An Elliptic Curve?" From Bitcoin to Self-Driving Vehicles

Emma Previato

Friday, February 22nd, 201912:20 PM - 1:10 PM

Storrs Campus

MONT 214

From the title article by Ã. Lozano-Robledo and H.B. Daniels(AMS Notices, 2017) to the current "The Ubiquity of Elliptic Curves" by E.H. Goins (AMS Notices, 2019), what is the reason for 'The unreasonable effectiveness of elliptic curves'? This talk will illustrate the role of elliptic curves, and more generally Algebraic Geometry, in Mathematical Physics, Information Theory and Cryptography, and Machine Learning, presenting some of the speaker's results and open questions for future research.

Contact Information: Lisa Naples
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Analysis and Probability Seminar

Discrete Curvature: a brief overview

Prasad Tetali (Georgia Tech)

Friday, February 22nd, 20191:30 PM - 2:30 PM

Storrs Campus

MONT 313

Abstract: Inspired by the recent developments in differential geometry and calculus of variations, there have been several approaches to identifying a suitable notion of local (Ricci) curvature on non-smooth spaces, such as graphs and Markov chains. I will describe some of these approaches and review a few recent developments in this topic on discrete curvature. Some of the consequences include a tight Cheeger inequality in abelian Cayley graphs, and diameter bounds on the spectral gap of the graph Laplacian. Several open questions remain.

Contact Information: Scott Zimmerman, scott.zimmerman@uconn.edu
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Analysis Learning Seminar

Title: Asymptotically hyperbolic manifolds in General Relativity

Hyun Jang

Friday, February 22nd, 20193:30 PM - 4:30 PM

Storrs Campus

MONT 313

Abstract: The notion of asymptotically hyperbolic manifolds arises largely from two different contexts: as a compactifiable manifold by conformal deformation (like the PoincarÃ¨ ball), or as an initial data set in general relativity (like a hyperboloid in the Minkowski space). This talk will mainly focus on the latter case. Beginning with the Einstein Field Equations, I am going to introduce an initial data set, Einstein constraint equations, and how the concept of asymptotically hyperbolic manifolds arises naturally. From there, I will talk about the positive mass theorem for asymptotically hyperbolic manifolds, and relevant result of the joint work with Huang and Martin, which concerns about the rigidity property of the mass.

I will also briefly mention the context of conformally compactifiable manifolds and some interesting results.

I will also briefly mention the context of conformally compactifiable manifolds and some interesting results.

Contact Information: Murat Akman (murat.akman@uconn.edu) and Vyron Vellis (vyron.vellis@uconn.edu)
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PDE and Differential Geometry Seminar

Title TBA

Speaker TBA.

Monday, February 25th, 20192:30 PM - 3:30 PM

Storrs Campus

MONT 214

TBA

Contact Information: Wang, lihan.wang@uconn.edu
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Algebra Seminar

Title TBA

Speaker TBA

Wednesday, February 27th, 201911:15 AM - 12:05 PM

Storrs Campus

Monteith, 313

TBA

Contact Information: Mihai Fulger, mihai.fulger@uconn.edu
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Math Club

Zero Sets of Polynomials: Analytic vs Geometric Regularity

Matthew Badger (UConn)

Wednesday, February 27th, 20195:45 PM - 6:35 PM

Storrs Campus

Monteith 321

TBA

Contact Information: Keith Conrad (kconrad@math.uconn.edu)
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Mathematics Colloquium

The HRT Conjecture

Kasso Okoudjou (University of Maryland/MIT)

Thursday, February 28th, 20194:00 PM - 5:00 PM

Storrs Campus

MONT 214

Given a non-zero square integrable function $$g$$ and $$\Lambda=\{(a_k, b_k)\}_{k=1}^N \subset \mathbb{R}^2$$ let \( \mathcal{G}(g, \Lambda)=\{e^{2\pi i b_k \cdot}g(\cdot - a_k)\}_{k=1}^N.\) The Heil-Ramanathan-Topiwala (HRT) Conjecture is the question of whether $$\mathcal{G}(g, \Lambda)$$ is linearly independent. For the last two decades, very little progress has been made in settling the conjecture. In the first part of the talk, I will give an overview of the state of the conjecture. I will then describe some recent attempts in settling the conjecture for some special classes of functions.

Contact Information: Alexander Teplyaev
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Analysis Learning Seminar

Title: State transfer in quantum spin chains

Maksym Derevyagin

Friday, March 1st, 20193:30 PM - 4:30 PM

Storrs Campus

MONT 313

Abstract: We will consider some mathematical aspects of a quantum state transfer. In particular, we will review a few recent papers on the matter and discuss the role of orthogonal polynomials and Jacobi matrices in the theory of spin transfer.

Contact Information: Murat Akman (murat.akman@uconn.edu) and Vyron Vellis (vyron.vellis@uconn.edu)
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PDE and Differential Geometry Seminar

Xiaodong Wang

Michigan State University

Monday, March 4th, 20192:30 PM - 3:30 PM

Storrs Campus

MONT 214

TBA

Contact Information: Wang, lihan.wang@uconn.edu
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### Geometric Flow Seminar

Monday, March 4th, 20194:00 PM - 5:00 PM

Storrs Campus

MONT214

Learning seminar in geometric flow

Contact Information: Lihan Wang, lihan.wang@uconn.edu
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