top of page

Student Mentoring

Mentoring undergraduate and highschool students is fun and rewarding.  I'm glad to be in a department that values such activities and supports faculty members on this.  Recent mentoring activities fall into three categories:

  • Competition training.  I find math competitions very fun.  It was a big motivation for me to learn deeper mathematics when I was young.  I have coached teams for

    • The Lowel Putnam Mathematical Competition.  Both at Northeastern University and now at Baruch College.  If you are a student at Baruch College interested, see the teaching tab above or send me an email!​

    • The International Mathematical Olympiad.  I trained the Mexican team for a few years after being a contestant, and even the Canadian team in a Mexico-Canada joint training week before the 50th IMO.  Recently, I coached the Panama team.

  • Research mentoring.  We have an REU at Baruch College.  Click the button for more information on results obtained and plans for future years.

  • Year-round mentoring.  Are you a student at Baruch interested in Discrete Geometry and Combinatorics?  If you want to know what other opportunities there are for you, send me an email!  Some of our students have done directed readings, participated in summer programs, written math honors thesis, and more.

Contact Me

Feel free to contact me using this form.

Thanks for submitting!

Combinatorial Geometry for Undergraduate Students

These notes contain the contents of the lectures I've given at REUs in recent years.  They contain the background necessary for students to start working on open problems in the area (see the list below for resulting papers).

The list below contains papers that I wrote in collaboration with undergraduate students.  Papers of students I mentored (but where I am not an author) are not listed here.  Those can be found in the REU site.

Research papers with undergraduate students as authors

Extensions of discrete Helly theorems for boxes

Joint with Timothy Edwards

Year:

2024

Status:

Research papers with undergraduate students as authors

High-dimensional envy-free partitions

Joint with Christina Yu

Year:

2023

Status:

Submitted for Publication

Research papers with undergraduate students as authors

Lifting methods in mass partition problems

Joint with Yuki Takahashi

Year:

2023

Reference:

Int. Math. Res. Not. IMRN, 2023 (16), pp. 14103-14130

Research papers with undergraduate students as authors

Colorful and Quantitative Variations of Krasnosselsky's Theorem

Joint with Connor Donovan and Danielle Paulson

Year:

2023

Status:

Submitted to journal

Research papers with undergraduate students as authors

Counterexamples to the Colorful Tverberg Conjecture for Hyperplanes

Joint with João Pedro Carvalho

Year

2022

Reference

Acta Mathematica Hungarica 167, 385–392

Research papers with undergraduate students as authors

Tolerance for colorful Tverberg partitions

Joint with Sherry Sarkar

Year:

2022

Reference:

European J. Combin 103, paper 103527

Research papers with undergraduate students as authors

Isometric and affine copies of a set in volumetric Helly results

Joint with John A. Messina

Year:

2022

Reference:

Comput. Geom. 103 101855

Research papers with undergraduate students as authors

Tverberg's theorem, disks, and Hamiltonian cycles

Joint with Yaqian Tang

Year:

2021

Reference:

Ann. Comb. 25 pp 995-1005

Research papers with undergraduate students as authors

Generalizations of the Yao-Yao partition theorem and the central transversal theorem

Joint with Michael N. Manta

Year:

2021

Status:

Submitted to journal

Research papers with undergraduate students as authors

Balanced convex partitions of lines in the plane

Joint with Alexander Xue

Year:

2021

Reference:

Discrete Comput. Geom. 66(3), pp 1150-1167

Research papers with undergraduate students as authors

Bisections of mass assignments using flags of affine spaces

Joint with Ilani Axelrod-Freed

Year:

2021

Status:

Accepted at Discrete Comput. Geom.

Research papers with undergraduate students as authors

A mélange of diameter Helly-type theorems

Joint with Travis Dillon

Year:

2021

Reference:

SIAM J. Discrete Math. 35 (3) pp. 1615-1627

bottom of page