# NYU Mathematics Society

NYUMS provides its members extensive sources of interaction with mathematics and is a great way to meet fellow students and faculty members.

We are a school club for anyone interested in math. To join, simply attend any of our meetings.

05/10/2019

SUMMER TIME!
Thank you all for coming down to our last event for this Spring semester and we wish everyone the best for finals and we really hope to see all of you back next fall!

05/07/2019

Thank you all for coming to our board game night last week at The Uncommons!
We do have ANOTHER one this Thursday so if you claim you're good at Monopoly, come to the event so we can see if there's any truth to it 👍

04/26/2019

We had fun on our midweek-school-escape-math-adventure trip to MoMath! (Truly, this was a testament to how math is everywhere you look)

04/23/2019

Thank you all who attended Professor F***y Shum's lecture on Brownian Motion last Thursday!

Learning about what's driving the field of mathematics is one of the many ways we can see our academics come to life in the real world, and so we hope everyone had fun!

04/05/2019

Thank you to all who came down to the Undergraduate Panel event yesterday!

Special thanks to our guest panelists who took time out of their busy schedules to attend our event. We hope you managed to learn a thing or two about how versatile and exciting your education in mathematics can be.

[12/12/17]   Tomorrow's event has been moved to next semester, good luck with finals!!

[09/26/17]   Our friends at the Stern Quantitative Finance Society are holding a Tech Talk with Goldman Sachs tomorrow, 6:30 p.m. to 8:00 p.m., in Tisch Hall UC-25.

09/07/2017

Math Society improvising at Club Fest.

03/06/2017

The hedge fund Citadel with Correlation One is hosting a data hackathon this friday. If you are interested in data science/finance, you should register

[02/22/17]   Python Workshop today @ 5:15pm. Room 201.

[02/08/17]   Today at 5 PM our talk will be Arnav Sood, talking about some mathematical economics concepts!

[01/24/17]   Welcome back everyone. No meeting this week, but take note that we are moving our meetings to Wednesdays this semester.

[12/24/16]   Happy Holidays from Math Society! We hope your Winter Breaks are all maximally ideal.

[12/12/16]   Math Society End of Semester Social
Tuesday 12/13 5pm-6pm
Courant Rm 201
There will be pizza, sushi and donuts!!

[12/06/16]   This Tuesday Math Talk:
Professor Sinan Gunturk
Courant 201 5pm-6:15pm
There will be a lot of pizza!
Topic: What is quasirandomness and how is it useful?
Quasirandom sequences are best known for their use in numerical integration, but they appear in many other problems in applied mathematics and engineering. They have a beautiful mathematical theory with connections to harmonic analysis, number theory, and dynamical systems. We will formulate the concept of quasirandomness through elementary examples and explain how quasirandomness differs from pseudorandomness and "true" randomness.

[11/28/16]   This week Math Society talk Speaker: Provost David McLaughlin
Tuesday 11/29 Courant 201, 5-6pm.
TITLE OF TALK -- "Mathematical Neural Science Today"

In this talk, Provost McLaughlin will describe some of the exciting ways that modern applied mathematics can contribute to neural science.

All are welcome.

There will be pizza.

[11/14/16]   Tomorrow, CIMS Professor Shafer Smith will be giving a talk (5:15-6:00, Courant 201). Professor Smith works in the Center for Atmospheric Ocean Science at Courant, and we hope his talk will be valuable exposure to a vital part of the Institute which we don't often get to see.

11/12/2016

Stony Brook Math Day!

[11/07/16]   This week's math society talk will be today Monday!
Topic: What is a rigid graph?
Place: Courant 317 Monday 5pm-6pm
Speaker: Professor Miranda Holmes-Cerfon

If you push on a bridge or a building, it doesn’t move: it is rigid. Similarly, if you build a physical realization of a graph, and you push on it and it doesn’t deform, then you know it is rigid. This property of being rigid seems quite intuitive when you hold a graph in your hands, but how can a computer be programmed to tell when a graph is rigid? I will explain the challenges of constructing such an algorithm, and guide you through the steps of creating one, touching on various topics in linear algebra and eventually a little convex programming along the way. Be prepared to hold strange graphs and have your intuition be stymied.

There will be pizza!

[10/31/16]   Strongly recommend:
Tuesday's Talk 11/1
Speaker: Professor Joel Spencer
Topic: Asymptopia
Description:
Gunter Zeigler described the speaker's book (with Laura Florescu) with this title as "a lovely little travel guide to a country you might not
even heard about -- full of wonders, mysteries, small and large
discoveries." Thinking asymptotically gives one another dimension
of mathematical thought. We will examine perhaps the most beautiful asymptotic result in mathematics: Stirling's Formula. What do \pi and e have to do with n! ? Come and find out.

There will be pizza!

10/25/2016

Dear all,

Math Society would like to organize participation in Math Day at Stony Brook University on November 12th. We will cover your travel expenses to Stony Brook and back for up to 25 dollars. (Roundtrip train tickets cost around 26~27 dollars.) Lunch and breakfast will be provided. Receipts are required.

For those interested in participating, please send Yuyang([email protected]) an email with your name, NetID, year of study, a list of math classes you have taken and a short paragraph on why you would like to participate in Math Day by then end of this week October 30th.

Here is the info on Stony Brook Math Day:
http://www.math.stonybrook.edu/rtg/math-day.php

[10/24/16]   This week's math talk is tomorrow Tuesday 5:15pm at Courant 201. Back to normal! And pizza as always.

Title: Approximate Dynamic Programming for Deterministic and Stochastic Systems
Speaker: Tao Bian
Abstract: Over the past few decades, approximate dynamic programming has been developed to solve online optimization problems for Markov decision processes. In this talk, we will introduce some new results in this field, with a specific focus on continuous-time dynamical systems. Challenges and difficulties in extending classical results to the continuous-time model will be discussed. In addition, we will propose a potential application of this new theory in the study of human biological learning mechanism.

[10/18/16]   This Wednesday 10/19
6:30-7:30 Courant 312
Rationality in Mathematics
Speaker: Professor Alena Pirutka

For a given system of polynomial equations $f_1(x_1,\ldots, x_n)=\ldots= f_m(x_1, \ldots, x_n)=0$ we are interested to know how
unconstrained the solutions are, i.e. could we parametrize the
solutions by independent parameters? A classical example is the
Pythagorean Triples, the integral solutions of the equation
$a^2+b^2=c^2$, where the parametrization is given by
$(a,b,c)=(m^2-n^2, 2mn, m^2+n^2)$.

If we could find such a parametrization, we say that an algebraic
variety defined by $f_1(x_1,\ldots, x_n)=\ldots= f_m(x_1, \ldots, x_n)=0$ is rational. For a given variety it could be very difficult to
determine if it is rational or not. For example, a major open problem
is to investigate rationality for varieties defined by one cubic
equation.

In this talk we will discuss various examples of rational varieties,
as well as some applications.

All are welcome! There will be pizza.

[10/10/16]   Math Talk this Wednesday10/12 Courant 312 6:30-7:30pm

An Entertainment of Some Unsolved Math Problems

by Professor Yisong Yang

Unsolved math problems present constant challenges and provide opportunities for new ideas. In this seminar we will discuss some unsolved problems which are not as well known as the “Millennium Problems” of the Clay Institute or “Problems for the Next Century” of Steve Smale, yet inviting and may be enjoyed by undergraduate math majors with knowledge about whole numbers, calculus, complex variables, and geometry of curves and surfaces. The names of the people who proposed or whose work is associated with these problems include Bunyakovsky, Chern, Erdos, Gauss, Hardy, Littlewood, Landau, Sendrov, Willmore.

There will be pizza.

10/03/2016

Tomorrow Arnav will be giving a talk on Infinite Stage Decision Problems. 5pm Courant 201. Be there early because we will end early tomorrow!

[09/26/16]   Tomorrow Tuesday 5:15 Courant 201

Abstract for Samarth Talk:
We will discuss how to construct a new number system like the real numbers, that also contains infinitely large and infinitely small quantities, and talk about some historical details. It is possible to develop calculus on this new number system, and it's connection to the "standard" system of numbers will be demonstrated.

[09/19/16]   Our first math talk of the semester!

Topic: Statistical Mechanics and the Riemann Hypothesis

Time&Address: Tuesday 9/20 WWH 201 5:15pm

Speaker: Professor Charles Newman

Description:

In this talk we review a number of old results concerning certain statistical mechanics models and their possible connections to the Riemann Hypothesis.

A standard reformulation of the Riemann Hypothesis (RH) is: The
(two-sided) Laplace transform of a certain specific function \Psi on the real line is automatically an entire function on the complex plane; the RH is equivalent to this transform having only pure imaginary zeros. Also \Psi is a positive integrable function, so (modulo a multiplicative constant C) is a probability density function.

A (finite) Ising model is a specific type of probability measure P on the points S=(S_1,...,S_N) witheach S_j = +1 or -1. The Lee-Yang theorem (of T. D. Lee and C. N. Yang)implies that that for non-negative a_1, ..., a_N, the Laplace transform of the induced probability distribution of a_1 S_1 + ... + a_N S_N has only pure imaginary zeros.

The big question here is whether it's possible to find a sequence of Ising models so that the limit as N tends to \infty of such distributions has density exactly C \Psi. We'll discuss some hints as to how one might try to do this.

All are welcome. Pizza will be present.

09/12/2016

NYU Mathematics Society First Gathering tomorrow 5pm at Courant 201. Want to learn more about participating in this semester's events and conferences? Let's eat pizza and talk!

[08/29/16]   Dear New and Continuing Math Majors,
Come talk to any of your Mathematics Society Eboard members at the breakfast and learn how to get involved!
President: Xiaoyue Gong Vice President: Yuyang Zhang Secretary: Arnav Sood Treasurer: Justin Jian.
See you there math people.

08/29/2016

Courant Institute of Mathematical Sciences
pc: http://wikimapia.org/90900/Warren-Weaver-Hall-Courant-Institute-of-Mathematical-Sciences

[05/27/16]   The new e-board:
President: Xiaoyue
Vice President: Yuyang
Secretary: Arnav
Treasurer: Justin

05/15/2016

Don't forget to vote for next year's Math Society eboard! Link below:

Please do not let Math Society fall to fascism

accounts.google.com Create a new survey on your own or with others at the same time. Choose from a variety of survey types and analyze results in Google Forms. Free from Google.

[03/30/16]   Info for today's talk

Fair Duels

A talk by Professor C. Sinan Gunturk

Wednesday, March 30th at 5:15pm in WW201

Abstract: This talk will be about infinite binary sequences which are highly balanced in a certain universal sense. We will discuss the "fair duel" problem, how some classical sequences fare in attempts to solve it, and the best performing solution known to date which is inspired by a signal processing algorithm.

[03/27/16]   "The Box" refers to questions on university applications that ask applicants to disclose their history within the criminal punishment system (eg, whether you've been incarcerated, or have received disciplinary action, etc). Considering the statistics of incarceration (ie who is incarcerated and why), these questions serve as an extension of our current criminal justice system, and unfairly limit access to higher education for marginalized groups (esp poor people of color; consider the fact that black men are seven times more likely to be incarcerated than white men for the same offenses). Currently there is a group of around forty students occupying Kimmel , demanding the NYU administration abolish the box; they have been sitting in for more than thirty hours now and will stay overnight. If you are committed to social justice (as many of the great mathematicians were: Russell, Galois, Grothendieck, etc) then please join the call to action, stay overnight at Kimmel, and demand for NYU to ABOLISH THE BOX

[03/09/16]   Here's the info for today's talk.

=====

Riemann surfaces: a bridge between analysis, arithmetic and topology

A talk by Federico Buonerba

Wednesday, March 9th at 5:15pm in WW201

Abstract: The classification theory of Riemann surfaces, be it topological, analytic or arithmetic, tends to resemble a fundamental trichotomy: genus 0 (a sphere), genus 1 (a donut), and genus at least 2 (donut with at least two holes). We will start our journey by investigating the topological properties of Riemann surfaces, and getting a first taste of the trichotomy: as the genus increases, the fundamental group tends to become bigger and less abelian. Along the way we will find the curious fact, that surfaces of genus at least 2 can be obtained as quotient of some groups of Moebius tranformations, acting on the upper half plane.

This observation leads us into the realm of geometry, where we will see how the constant curvature geometry, as known on the sphere, plane, upper half plane, descends to our Riemann surfaces giving a trichotomy, this time, in the metric sense.

After switching to Riemann's perspective, that Riemann surfaces are the natural domains of definition of multi-valued holomorphic functions, we will see a theorem on which modern complex analysis and algebraic geometry build on: every Riemann surface has a holomorphic map into complex projective spaces. This means, Riemann surfaces can be defined as the zero locus of polynomial equations. For example, the Fermat equation.

This leads us into the arithmetic, precisely into diophantine questions: if our Riemann surface is given by some equations with rational coefficients, what are its solutions in the rational numbers? For example, the Fermat last theorem! Amusingly, the trichotomy shows up again: as the genus increases, the number of solutions decreases, until it becomes finite for Riemann surfaces of genus at least two.

We can conclude our trip by mentioning Belyi's wonderful theorem, and a consequence relating the Galois group of Q, to the fundamental group of the plane minus two points.

=====

### Our Story

We are a CAS club for anyone interested in math. To join, simply attend any of our meetings!

https://wp.nyu.edu/nyumathsociety/

251 Mercer St
New York, NY
10012

### General information

Spring 2013 Officers President: James Moody Vice President: John Yoon Secretary: Alexandra Singer Treasurer: John Chiarelli Webmaster: Jake Miller
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