Cristhian Garay. Personal website

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Last update: Sept '20

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Name: Cristhian E. Garay López
Institution: Center for Research in Mathematics (CIMAT) (office K315)
Address: Jalisco S/N, Col. Valenciana CP: 36023 Guanajuato, Gto, Mexico
e-mail: cristhian dot garay at cimat dot mx
CV: upon request.

Presence in the web

News


Summary

I am a CONACYT Research fellow in Mathematics at CIMAT, in the City of Guanajuato, Mexico, since may 2019.

I studied at the Institut de Mathématiques de Jussieu (now Institut de Mathématiques de Jussieu-Paris Rive Gauche) of the Pierre and Marie Curie University (also known as UPMC, Paris 6, and now Sorbonne University) from 2008 to 2015, under the joint direction of Jean-Jacques Risler and Erwan Brugallé.

I was a member of the research team Analyse Algébrique. My PhD thesis can be downloaded from here.

Service

I am one of the organizers of:

Current seminars

Meetings

I am also an ambassador of France Alumni Mexico network.

Research

My areas of interest include: 

1. Geometry (Real Algebraic, Tropical Algebraic, Rigid and non-Archimedean Algebraic), and

2. Combinatorics (Matroids, Tropical Differential Algebraic Geometry, Tropical Convexity).

Right now I am very interested in tropical differential equations. You can find a friendly introduction to the subject here: Using tropical differential equations. (Old version)

More details on some of my ongoing research projects are available in my Research Gate site.

The index of my articles in arXiv is available here.

  1. The Fundamental Theorem of Tropical Partial Differential Algebraic Geometry. Joint with S. Falkensteiner, M. Haiech, M. P. Noordman, et. al.
  2. Inflection divisors of linear series on an elliptic curve. Joint with E. Cotterill.
  3. Real inflection points of real linear series on an elliptic curve. Joint with E. Cotterill.
  4. Real inflection points of real hyperelliptic curves. Joint with I. Biswas and E. Cotterill
  5. The Fundamental Theorem of Tropical Differential Algebraic Geometry. Joint with F. Aroca and Z. Toghani.
Articles in preparation.
  1. Matroids and homological classes of torus-invariant subvarieties of Grassmannians. Joint with E. Javier Elizondo and Alex Fink.
  2. Matroids over a scheme.Joint with Alex Fink and Luca Moci.

Teaching

Courses

01/2020 to 05/2020 Topology. CIMAT
01/2020 to 05/2020 Rigid and tropical methods in Algebraic Geometry. CIMAT
08/2019 to 12/2019 Perfectoid algebras and spaces. CIMAT
What is... a Perfectoid Space? By Bhargav Batt.
09/2012 to 08/2014 Temporary Teaching and Research Assistant (A.T.E.R). Faculty of Sciences, UPMC. Paris 6

For Students

Click here to access some resources for students.

MSc

  • Sergio Gomez
  • Jesus Rivera

Past students

BSc

  • Javier Ruiz
  • Víctor Torres

Social

Future Events

Past events

Friends and collaborators