All Seminars

Title: Athens-Atlanta joint Number Theory Seminar
Seminar: Algebra
Speaker: Alina Bucur and Samit Dasgupta of USCD and Duke
Contact: David Zureick-Brown, david.zureick-brown@emory.edu
Date: 2022-11-07 at 4:00PM
Venue: MSC W301
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Abstract:
Title: Jordan Decompositions of Tensors
Seminar: Algebra
Speaker: Luke Oeding of Auburn University
Contact: David Zureick-Brown, david.zureick-brown@emory.edu
Date: 2022-09-19 at 4:00PM
Venue: MSC W301
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Abstract:
Title: TBA
Seminar: Algebra
Speaker: Brooke Ullery of Emory University
Contact: David Zureick-Brown, david.zureick-brown@emory.edu
Date: 2022-09-06 at 4:00PM
Venue: MSC N304
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Abstract:
Title: Algebraic Relations Between Solutions of Order One Differential Equations
Seminar: Algebra
Speaker: Taylor Dupuy of Mathematics at University of Vermont
Contact: David, david.zureick-brown@emory.edu
Date: 2022-08-02 at 4:00PM
Venue: MSC W301
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Abstract:
Title: Local-global principle for hermitian spaces over semi-global fields
Defense: Dissertation
Speaker: Jayanth Guhan of Emory University
Contact: Jayanth Guhan, jayanth.guhan@emory.edu
Date: 2022-06-20 at 11:00AM
Venue: MSC E408
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Abstract:
Title: Counting rational points on some moduli stacks or if that sounds scary on some modular curves
Seminar: Algebra
Speaker: Jordan Ellenberg of University of Wisconsin, Madison
Contact: David Zureick-Brown, david.zureick-brown@emory.edu
Date: 2022-04-29 at 2:00PM
Venue: MSC W301
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Abstract:
How many elliptic curves are there which have a cyclic N-isogeny? You may note that this question is not very carefully stated. I will talk about the surprisingly subtle issue of how this question should best be precisely posed, and talk about recent work in this direction and related ones due to Rob Harron and Andrew Snowden, Brendan Boggess and Soumya Sankar, Maggie Pizzo + Carl Pomerance + John Voight, Tristan Phillips, John Yin, and to some extent the speaker + Matt Satriano + David Zureick-Brown.
Title: Relative Arbitrage Opportunities in Stochastic Games and its Numerical Scheme
Seminar: Computational Math
Speaker: Nicole Yang of Morgan Stanley
Contact: Lars Ruthotto, lruthotto@emory.edu
Date: 2022-04-28 at 10:00AM
Venue: Virtual (RSVP by email to lruthotto@emory.edu)
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Abstract:
The Relative arbitrage portfolio outperforms a market portfolio over a given time horizon with probability one. When an investor competes with both market and peers, does relative arbitrage opportunity exist? What is the best performance one can achieve? What is the impact on the market when a large group of investors competes in a similar way? We construct a framework of multi-agent optimization for relative arbitrage problems to answer these questions. Under a dynamical system with interacting investors, the objective is characterized by the smallest non-negative continuous solution of the Cauchy problem for the associated partial differential equation. We solve the optimal strategies by deriving the Nash equilibrium in finite player and mean field games. However, solving this numerically presents many challenges due to the non-uniqueness and the curse of dimensionality. We provide a deep learning approach to tackle minimal solutions in the high-dimensional PDEs based on the associated obstacle problem and Deep Galerkin Method. We show that the minimal deep learning based solution is a good approximation in the volatility-stabilized models when compared to the grid-based numerical solution. We lay out a few future research topics related to deep learning, mean field type problems, and inverse problems.
Title: Half Covering, Half Coloring
Defense: Dissertation
Speaker: Alexander Clifton of Emory University
Contact: Alexander Clifton, alexander.james.clifton@emory.edu
Date: 2022-04-22 at 10:30AM
Venue: MSC W307C
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Abstract:
We will discuss two types of problems in extremal combinatorics. First, we discuss problems about covering sets of points using affine hyperplanes. We consider a higher multiplicity generalization of a result of Alon and F\"{u}redi about the minimum number of hyperplanes needed to cover all but one vertex of an $n$-cube. We then discuss related covering problems for triangular grids. Next, we answer a question in arithmetic Ramsey theory. For a fixed set $D$, of positive integers, let $\Delta(D,k;2)$ be the smallest $N$ such that any $2$-coloring of $\{1,2,\cdots,N\}$ contains a monochromatic sequence $a_1
Title: Directed Reading Program presentations II
Type: N/A
Speaker: Several Undergraduates of Emory University
Contact: Chris Keyes, christopher.keyes@emory.edu
Date: 2022-04-21 at 2:30PM
Venue: Psychology and Interdisciplinary Sciences Building: PAIS 280 (tentative)
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Abstract:
Join us to celebrate the conclusion of the Spring 2022 Directed Reading Program! Students will give short presentations on what they learned, covering a wide range of topics in pure and applied mathematics. \\ \textbf{Speakers and topics for part II}: \begin{enumerate} \item Michael Liu, \emph{Percolation theory} (Mentor: Alexander C.) \item Catherine Baker, \emph{Numerical analysis} (Mentor: Riti) \item Judy Hao, \emph{Partial differential equations} (Mentor: Ben) \item Cecilia Garcia and Siwei Xu, \emph{Computational algebra} (Mentor: Alex D.) \end{enumerate}
Title: Directed Reading Program presentations I
Type: N/A
Speaker: Several Undergraduates of Emory University
Contact: Chris Keyes, christopher.keyes@emory.edu
Date: 2022-04-19 at 4:00PM
Venue: MSC W303
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Abstract:
Join us to celebrate the conclusion of the Spring 2022 Directed Reading Program! Students will give short presentations on what they learned, covering a wide range of topics in pure and applied mathematics. \\ \textbf{Speakers and topics for part I}: \begin{enumerate} \item Hayden Truong, \emph{Commutative algebra} (Mentor: Ariella) \item Meg Ruder, \emph{Number theory} (Mentor: Shilpi) \item Ezra Arovas, \emph{Sports analytics} (Mentor: Chris) \item Zoe Ji, \emph{Math for computer graphics} (Mentor: Abbey) \end{enumerate}