Néstor F. Díaz Morera


Research Teaching Conferences Activities Inspiration

I am a fifth year Ph.D. candidate at Tulane University's Department of Mathematics, in New Orleans. My adviser and friend is Prof. Mahir Can. I pursued my M.S. from ESFM-IPN, in Ciudad de México, and my B.S. from Universidad Sergio Arboleda in Bogotá. Here is my CV.

SRAC 2022-Milledgeville, Georgia, USA

Upcoming events at Tulane spring 2023...

Research

My research interest lies in representation theory and is motivated by the connection between algebraic groups and combinatorics. I investigate flag varieties and their Schubert varieties via representation theoretic and combinatorial gadgets. Currently, I am working on the classification of Schubert varieties of complexity one and spherical varieties.

Published and Preprints

  1. Nearly toric Schubert varieties and Dyck paths (with Mahir Can-preprint)

Teaching

I wouldn't have made it this far in math without enjoying the pleasure of teaching and sharing knowledge.

Current teaching

Past teaching

Conferences

Invited Talks

  1. Dyck paths and nearly toric Schubert varieties. JMM, Boston, USA (slides).
  2. Ding and Schubert varieties. SMM, Universidad De Guadalajara, Jalisco, México (virtual-Mini-Plática).
  3. Contar nos hace la vida más fácil. COCITEI, Oaxaca, México (virtual-slides).
  4. \(Q_p\) Spaces on Hyperbolic Riemann Surfaces. Encuentro de Sociedades de Matemáticas Colombiana y Mexicana, Universidad del Norte, Colombia (slides).

Contributed talks

  1. Ding and Schubert Varieties. Graduate Student Colloquium at Tulane university, USA (slides).
  2. A naive Introduction to Affine Schemes. Graduate Student Colloquium at Tulane university, USA (slides).
  3. From Differential Geometry to Lie Theory. Graduate Student Colloquium at Tulane university, USA (virtual-slides).
  4. Manifolds and their applications. Graduate Seminar at IPN, México (slides).

Posters

  1. Spherical partition Schubert varieties. PRIMA congress-Canada (poster).

Activities and Outreach

BBQ-Audubon Park (Fall 2021)

Inspiration

I firmly stand for Prof. Federico Ardilla's axioms at todos cuentan (everyone counts):

  1. Mathematical potential is distributed equally among different groups, irrespective of geographic, demographic, and economic boundaries.
  2. Everyone can have joyful, meaningful, and empowering mathematical experiences.
  3. Mathematics is a powerful, malleable tool that can be shaped and used differently by various communities to serve their needs.
  4. Every student deserves to be treated with dignity and respect.

But then I felt possessed by an aura 
of inspiration that allowed me to improvise 
credible answers and miraculous lucky guesses. 
Except in mathematics, which not even 
God could make me understand.
            Gabriel García Márquez, Living to Tell the Tale, p.204.