News

Recent research activities, awards, publications, mentoring, invited talks, and professional updates.

2026


November 2026

November 19, 2026

Invited Research Talk- Nonlinear Analysis and PDEs Seminar

I have been invited to present "From Monotone Graphs to Free Boundaries: Variational Structures in Nonlinear Evolution Equations" at the Nonlinear Analysis Seminar at the CUNY Graduate Center. The talk explores convex subdifferentials, spatially dependent monotone graphs, and variational approaches to nonlinear phase-transition problems, including connections to the classical Stefan problem.

Seminar information

November 6, 2026

Invited Research Talk - Differential Geometry, Topology, and Special Structures Seminar

I will present "Sharp Reconstruction Bounds for Diffeomorphisms with Controlled Distortion" at the Differential Geometry, Topology, and Special Structures Seminar at the CUNY Graduate Center. The talk, based on joint work with Hy P. G. Lam (Worcester Polytechnic Institute), explores geometric obstructions to reconstruction using orientation-preserving diffeomorphisms, sharp distortion bounds, and the role of dimension in information transfer.

Seminar information


October 2026

Invited Panelist and Mentor Judge — SACNAS 2026 National Conference

I will participate as an invited panelist at the 2026 SACNAS National Conference , in Long Beach, California, October 29–31, 2026. I have also been selected to serve as a Mentor Judge for student poster presentations, providing constructive feedback and mentoring to emerging researchers.

I will also participate in the Modern Math Workshop, which brings together mathematicians and researchers to foster professional connections and scientific exchange.

Professional Service — IEEE ICASSP 2027

I accepted an invitation to serve as a reviewer for the 2027 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP 2027) .

Invited Talk — Oregon State University Applied Mathematics and Computation Seminar

I gave an invited talk, “Dynamical System Autoencoders and Representation Learning,” in the Applied Mathematics and Computation Seminar at Oregon State University on October 2, 2026.

The talk examined hidden-state dynamics in Dynamical System Autoencoders and how repeated encoding affects learned representations, combining mathematical analysis with computational experiments on 3D LiDAR point clouds.

View seminar announcement and abstract


August 2026

Undergraduate Research Mentoring — CREST REU

I mentored undergraduate researcher Evelyn Pulla through the CREST REU program. Her summer research culminated in a poster presentation in August 2026.


July 2026

New Preprint — Dynamical System Autoencoders for LiDAR Classification

Our preprint, “Depth-Dependent Hidden-State Collapse in Dynamical System Autoencoders for LiDAR Point-Cloud Classification,” with Hy P. G. Lam, is available on arXiv.

The work studies how repeated transformations in dynamical autoencoder architectures affect hidden representations and downstream classification.

View preprint on arXiv

Professional Service — AMS Mathematical Reviews

On July 30, 2026, I accepted an invitation to serve as a reviewer for Mathematical Reviews (MathSciNet) , published by the American Mathematical Society (AMS).


June 2026

International Congress of Mathematicians — AMS/NSF Travel Grant

I was selected to receive an AMS/NSF Established Mathematician Travel Grant to support my participation in the 2026 International Congress of Mathematicians (ICM 2026) in Philadelphia.


April 2026

Invited Seminar — Marist University

I gave an invited talk, “Making Sense of 3D Point Clouds: Mathematics & Machine Learning,” for the Marist University Department of Mathematics.

Marist University feature following Patricia Medina's invited mathematics talk
Marist University Department of Mathematics

View Marist University post


2026

Publication — Product Coefficients and 3D LiDAR Classification

Our work, “Integrating Product Coefficients for Improved 3D LiDAR Data Classification,” appeared in Lecture Notes in Networks and Systems. The paper investigates multiscale product coefficients as mathematically motivated features for 3D point-cloud classification.

2025



January 2025

Invited Colloquium — Kasetsart University, Bangkok

I gave an invited colloquium, “Enhancing Machine Learning with Mathematics: Better Mapping of the World,” in the Department of Mathematics at Kasetsart University in Bangkok, Thailand, on January 22, 2025.

Group photograph during Patricia Medina's visit to Kasetsart University in Bangkok, Thailand
Department of Mathematics, Kasetsart University — Bangkok, Thailand.

January 2025

Invited Lecture — ICDMAI 2025, Kolkata, India

I gave an invited lecture, “Engineering Features for Machine Learning on Multi-Class 3D Point Clouds,” at the International Conference on Data Management, Analytics and Innovation (ICDMAI 2025) in Kolkata, India.

The conference and its invited speakers were featured in The Times of India. City Tech also featured my research and academic visits to India and Thailand.

Times of India coverage   |   City Tech feature