Address and contact information: 


School of Engineering, Science and Technology

Universidad del Rosario

Carrera 6 No. 12C-16, Bogotá


Office: Edificio Cabal, 405


e-mail: cristianm.martinez@urosario.edu.co

I am a Profesor Principal at the School of Engenieering, Science, and Technology of Universidad del Rosario in Bogotá.  Before that, I was a postdoctoral fellow at Universidade Estadual de Campinas (Unicamp) in the Gauge Theory and Algebraic Geometry group of the Institute of Mathematics, Statistics and Scientific Computing  under the supervision of Marcos Jardim. Before Brazil, I held several positions: I have been an instructor at Universidad del Norte in Barranquilla, a Postdoctoral Researcher at Universidad de Los Andes in Bogotá, and a Visiting Assistant Professor at the University of California, Santa Barbara under David R. Morrison.  I graduated from the University of Utah in May 2015 with a PhD in Mathematics. I wrote my dissertation in Algebraic Geometry under the supervision of Aaron Bertram.


Curriculum Vitae


Research

I am interested in Derived Categories, Bridgeland Stability Conditions, Moduli Spaces of Sheaves, and in general, mathematics inspired by Physics.  I have worked on preservation of stability under Fourier-Mukai transforms, construction of stability conditions on higher dimensional varieties and the study of the birational geometry of moduli spaces of sheaves via wall-crossing techniques.

My google Scholar page.

My articles on arXiv.

My Research Gate.


Papers, preprints


Students

Daniel Bernal. Universidade Estadual de Campinas. Current Master Student.       Co-advised together with Marcos Jardim. 2023.

Juan Pablo Zuñiga Valencia.  Universidad de los Andes. Undergraduate Thesis: "The Derived Category of Coherent Sheaves on P^n". 2019.

Talon Stark. College of Creative Studies at UCSB. Undergraduate Student.  "Towards Projectivity of some Bridgeland moduli spaces on Hirzebruch surfaces". Now a graduate student at UCLA. 2018.


Teaching

This semester (2023-1) I will be teaching Topology, Differential Equations, and Calculus 3.

Past Teaching 

At Uniandes: Differential Calculus, Integral Calculus and Differential Equations, Abstract Algebra. At UCSB: Complex Variables, Intro to Real Analysis, Introduction to proof writing, Vector Calculus, Differential Equations.

Notes:

Integral Calculus and Differential Equations (Spanish)

Complex Variables

Intro to Real Analysis

Intro to Linear Algebra

How to prove it (basics)

How to prove it (Exercises)

Vector Calculus I 

Vector Calculus II

Differential Equations


Some online student reviews 

Los Estudiantes (Spanish)


Slides from some talks

Universidad de los Andes Colloquium, Fall 2018

Encuentro SCM-SMM, Spring 2018

AMS Sectional Meeting-Portland State University, Spring 2018.

( Washington University in St. Louis-Algebraic Geometry Seminar, Spring 2018)

AMS Sectional Meeting -UGA, Spring 2016

AMS Summer Institute in Algebraic Geometry, Salt Lake City 2015

My PhD Defense slides



Links

AG ArXiv Club.

Math Circle Uniandes.

Sociedad Colombiana de Matemáticas.

UCSB Mathematics Seminars.

University of Utah Algebraic Geometry Seminar.

ArXiv/AG/.

Southern California Algebraic Geometry Seminar.

WAGS.

Ravi Vakil's Algebraic Geometry conference list.