Néstor F. Díaz Morera

I am 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.

friends — SRAC 2022-Milledgeville, Georgia, USA

Upcoming events at Tulane spring 2023...

Math for All ~~A friendly and open environment to learn and discuss mathematics! (24-25th February).~~
SRAC The Southern Regional Algebra Conference (24-26th March).

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

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

Teaching Assistant: Math 1221 Calculus II (Spring 2023).

Past teaching

Teaching Assistant: Math 1311 Consolidated Calculus (Fall 2022).
Instructor, Math 1110 Probability & Statistic I (Summer 2022).
Instructor, Math 1150 Long Calculus I (Spring 2022).
Teaching Assistant, Math 3090 Linear Algebra (Fall 2021).
Teaching Assistant, Math 1230 Statistics for Scientist (Fall 2019, Spring 2020, Fall 2020, Spring 2021).
Teaching Assistant, Math 2210 Calculus III (Spring 2019).
Teaching Assistant, Math 1210 Calculus I (Fall 2018).

Conferences

Invited Talks

Dyck paths and nearly toric Schubert varieties. JMM, Boston, USA, January 4-7, 2023.
Ding and Schubert varieties. SMM, Universidad De Guadalajara, Jalisco, México (virtual-Mini-Plática).
Contar nos hace la vida más fácil. COCITEI, Oaxaca, México (virtual-slides).
\(Q_p\) Spaces on Hyperbolic Riemann Surfaces. Encuentro de Sociedades de Matemáticas Colombiana y Mexicana, Universidad del Norte, Colombia (slides).

Contributed talks

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

Posters

Spherical partition Schubert varieties and Dyck paths. SLAM, University of North Texas, 4–5 March 2023 (poster).
Spherical partition Schubert varieties. PRIMA congress, Vancouver, Canada, December 4-9, 2022.

Activities and Outreach

Volunteer in Math For All, a conference on Math Education and Research, NOLA (2021 & 2022).
President of AMS Student Chapter (2021-2022).

Inspiration

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

Mathematical potential is distributed equally among different groups, irrespective of geographic, demographic, and economic boundaries.
Everyone can have joyful, meaningful, and empowering mathematical experiences.
Mathematics is a powerful, malleable tool that can be shaped and used differently by various communities to serve their needs.
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.