Airam Blancas

Instituto Tecnológico Autónomo de México Río Hondo 1 Col. Progreso Tizapán 01080 Álvaro Obregón, Ciudad de México Email: airam.blancas-at-itam.mx

Since August 2020, I am associate professor in the Department of Statistics at ITAM.

My research interests are in the development of probability theory and stochastic processes to describe the genetic structure of populations under the action of evolutionary forces.

I completed my PhD in Probability and Statistics at CIMAT in 2016, co-supervised by Víctor Rivero and Arno Siri-Jégousse. Then, I got a CONACyT postdoctoral fellow to collaborate for two years in the group of Anton Wakolbinger at Goethe University Frankfut, in Germany. In 2019, I started a second postdoc co-supervised by Julia Palacios and Noah Rosenberg at Stanford University.

CV

Preprints

• Absorption and stationary times for the Lambda-Wright-Fisher process (2023), with S. Hummel, A. González-Casanova and S. Palau.
• Crossing bridges between percolation models and Bienaymé-Galton-Watson trees (2024), with M.C. Fittipaldi and S. Hernández-Torres.

Publications

• On branching process with rare neutral mutation, with V. Rivero.
  Bernoulli (2018), 24(2) 1576-1612.
• Trees within trees: Simple nested coalescents, with J.-J. Duchamps, A. Lambert and A. Siri-Jégousse.
  Electron. J. Probab. 23 (2018), no. 94, 1-27.
• The Nested Kingman Coalescent: Speed of Coming Down from Infinity, with T. Rogers, J. Schweinsberg and A. Siri-Jégousse.
  Ann. Appl. Probab. Volume 29, Number 3 (2019), 1808-1836.
• Evolving genealogies for branching populations under selection and competition, with S. Guffer, S. Kliem, V. C. Tran and A. Wakolbinger.
  Ann. Appl. Probab. Volume 33, Number 6A (2023), 4528-4569.
• Coalescent point process of a branching tree in varying environment, with S. Palau. Oberwolfach Report, p.56-59.
  Electron. Commun. Probab. 29: 1-15 (2024).

Theses

• Two contributions to the theory of stochastic population dynamics.
  PhD thesis at CIMAT, under the supervision of V. Rivero and A. Siri-Jégousse.
• On the number of segregation sites for populations with large family sizes and exponencial functionals of Lévy processes, written in spanish.
  Master thesis at CIMAT, under the supervision of V. Rivero.

Bachelor Students

• Alberto Sebastián Chávez Cano (2024) Actuaría, ITAM.
  Tiempos de mezcla en cadenas de Markov: aplicación al problema del barajeo de cartas.
• José Carlos Cruz Aranda (2024) Matemáticas Aplicadas, ITAM.
  Dos construcciones para el árbol aleatorio continuo.

Together with Sandra Palau and Adrián González-Casanova, we organized (Fall 2022 to Spring 2023) a seminar with the goal to approach undergrad students to active fields of reserarch in Probability.

The dynamic of the seminar was the following. At the beggining of the semester the students choose a paper to read. Then students and authors alternate to give a talk. One week the students prepare a presentation including key ideas of the paper, the week after the author explain the details of the paper.

You can watch the recorded talks on You Tube.

Links

• Bath-UNAM-CIMAT research platform. `