Bruno Poggi Cevallos' Home Page
Contact Info
Bruno Giuseppe Poggi Cevallos
University of Minnesota
Department of Mathematics
206 Church St SE
Minneapolis, MN 55455
Office: Vincent Hall 505
Email: poggi008@umn.edu
My full last name is "Poggi Cevallos", as in the Spanish tradition. I go by "Bruno Poggi" too.
I am a Ph.D student of Mathematics in the Department of Mathematics at the University of Minnesota, since September 2015. My advisor is
Svitlana Mayboroda. I was born and raised in Portoviejo, Manabí, Ecuador. This site is about my professional journey in mathematics. I also enjoy composing music.
Research Interests
Very broadly speaking, I am interested in Partial Differential Equations and Harmonic Analysis. Currently, I am working and/or interested on the following topics:
- Boundary value problems for inhomogeneous elliptic second-order operators.
- Exponential decay of fundamental solutions to Schrödinger operators.
- Optimal control of the inverse Stefan problem.
Papers and preprints (reverse chronological order)
- S. Mayboroda and B. Poggi, Exponential decay estimates for fundamental solutions of Schrödinger-type operators, Transactions of the AMS, Volume 372, Number 6 (2019) 4313–4357 arXiv version, journal version
- U. Abdulla and B. Poggi, Optimal Control of the Multiphase Stefan Problem (accepted for publication), Link to arXiv file.
Slides/manuscripts for talks, and posters (reverse chronological order)
- "Carleson perturbations of elliptic operators on domains with higher codimensional boundaries.", a talk given on 03/30/2019 for the Geometric and Harmonic Analysis 2019 conference at the University of Connecticut.
- "An introductory talk on the exponential decay of some solutions to Schrödinger operators.", a talk given on 09/26/2018 for the AMS Introduction to Research seminar at the University of Minnesota. This talk was given at a very elementary level.
- "Schrödinger operator: optimal decay of fundamental solutions and boundary value problems.", a talk given on 07/17/2018 for the Research Program in Mathematics at the Park City Mathematics Institute. Similar to the talk given as part of my oral examination.
- "Boundary value problems for second-order elliptic operators with lower order terms.", a talk given on 05/04/2018 as part of my oral examination for the doctoral program in mathematics at the University of Minnesota.
- "Exponential decay estimates for fundamental solutions of Schrödinger-type operators.", a talk given on 04/21/2018 in the AMS Special Session on Regularity of PDEs on rough domains, at the April 21-22 AMS Sectional Meeting in Boston.
- "The failure of the DeGiorgi-Nash-Moser regularity theory for second-order elliptic equations at the critical exponent case.", a talk given on 11/17/2017 in the Analysis & PDE Working Seminar at the University of Minnesota.
- "The exponential decay of fundamental solutions to certain Schrödinger operators", a poster presented on 05/16/2017 in the 'Recent Developments in Harmonic Analysis' Poster session, at the MSRI.
- "The Characterization of Sobolev functions as Absolutely Continuous on a.e. Line, and Applications.", a talk given on 11/16/2016 in the Student PDE Seminar at the University of Minnesota.
Teaching
I am a teaching assistant for Honors Multivariable Calculus in Fall 2019.
Previous teaching assistant assignments include
- Differential Equations and Linear Algebra (UMN Fall 2018)
- Sequences, Series, and Foundations (UMN Spring 2018)
- Sequences, Series, and Foundations (UMN Fall 2017)
- Honors Analysis I (Grading only, UMN Fall 2017)
- Multivariable Calculus (UMN Fall 2016)
- Calculus II (UMN Spring 2016)
- Calculus I (UMN Fall 2015)
- Differential Equations and Linear Algebra (Florida Tech Summer 2015)
- Introduction to Partial Differential Equations (Florida Tech Spring 2015)
- Differential Equations and Linear Algebra (Florida Tech Spring 2015)
- Introduction to Partial Differential Equations (Florida Tech Fall 2014)
- Differential Equations and Linear Algebra (Florida Tech Fall 2014)
External links
My ResearchGate Profile
School of Mathematics at University of Minnesota