Welcome

My name is Jared Marx-Kuo, and I am a second year graduate student in math at Stanford. Broadly speaking, I'm interested in
analysis, geometry, and mathematical physics. Before coming to Stanford, I studied math (and some physics) at the University of Chicago.

Research

• "Characters of Renner Monoids and Their Hecke Algebras": from the Minnesota Twin Cities REU 2018. Published in IJAC August 2020
• "Convolution Algebras for Finite Reductive Monoids": also from the Minnesota Twin Cities REU 2018.
• "Sandpile Groups of Cayley Graphs of $F^r_2$": also from the Minnesota Twin Cities REU 2018
• The "Obstacle Problem" (Summary, Problem Set, Answers): Group summer reading from undergrad under Professor Luis Silvestre and Stephen Cameron
• "Odd Quadratic Residues Modulo Powers of 2": short write up of high school work on computing quadratic residues

Lecture Notes

Here is a collection of notes I've taken

• Student Analysis Seminar Fall 2019: A weekly Stanford seminar on Analysis. The topic this quarter was entropy, as organized by Cole Graham.
• I gave a talk about Entropy and The Central Limit Theorem on 11/22.
• Student Probability Seminar Fall 2019: A weekly Stanford seminar on Probability. The topic this quarter was mix of mixing times, spectral gaps, and log-sobolev inequalities, as organized by Kevin Yang.
• I gave a talk about Hypercontractivity and log-sobolev inequalities on 10-18.
• Math 257a - Intro to Symplectic Geometry Fall 2019: Notes from the class taught by Umut Varolgunes.
• I gave a talk for the student symplectic seminar (for which I don't take regular notes) on sobolev spaces.
• I gave a talk at the University of Minnesota Twin Cities Representation theory seminar on representation theory and quantum mechanics. This was geared towards mathematicians who had little to no background in quantum physics

Seminars

I organize the Stanford math department seminar on mathematical physics as of winter 2020.

Teaching and Outreach

• Math 27300 - I was a grader for Ordinary Differential Equations during the winter 2019 at the University of Chicago, under Professor Pedro Gaspar.
• SURIM 2020 Group Leader (Problem Sheet, Partial Answers, Write-Up) - I organized a project on the Allen-Cahn equation for a group of 3 incoming sophomore students through the Stanford Undergraduate Research Institute in Mathematics. The students I worked with were Wenqi Li, George Nakayama, and Gautam Manohar, and with their permission, I've included their work from the summer.
• TA for CAAP calculus - I was a teaching assistant for a summer class on calculus through the University of Chicago's "Chicago Academic Achievement Program" (CAAP) geared towards incoming FLI first year students. I also taught a few lectures on ODEs in mechanics.
• DRP - I'm an organizer and mentor in Stanford's Directed Reading Program. Topics that I've mentored on so far include measure theory, probability, fourier analysis, manifolds, and geometry.
• Diversity and Inclusion in Mathematics - see this great write up by Abigail Ward about teaching in a diverse (Stanford) classroom
• Resources for Mathematicians from Underrepresented Backgrounds - working list of resources for mathematicians of all ages from underrepresented backgrounds. Please email me if you have anything to add

Credentials

Here is my CV

Contact Info

Find me on the first floor of Sloan (aka the "Math Corner") in office 381-F. Otherwise, email me at "j"+"marx"+"kuo"+"@"+"stanford.edu"

Math 171 Fall 2020 Textbook Instructions

See here

Miscellaneous Info

• I'm originally from Maryland (Go Terps!).
• I love music and play a few intstruments - below are some artists I enjoy listening to.
• I like soccer, frisbee, running, volleyball and rock climbing.

Music

Here are some of my musical influences

• Black Keys, "The Big Come Up," in particular "Busted" and "Brooklyn Bound."
• Jonny Grave, in particular "The Hammer."
• Etta James, in particular " At Last " and "Sunday Kind of Love."
• VULFPECK , check out "Outro."
• Anderson .Paak, in particular "Put Me Thru" and all of Malibu.