Wargame of our Group - Where are We Going?

Research Team

If you are a student and want to join our group, keep in mind that our focus is doing research.

This means that we read papers and try to solve theoretical problems instead of reading books from cover to cover.

I am completely against reading books without a goal. You already do this in regular courses.

Why?

We want to support people who want to become researchers. A researcher in mathematics is someone who is able to solve difficult problems and discover new results in the theory. Just accumulating much knowledge from books does not make you a researcher.

Will I have a superficial knowledge of the theory if I join the group?

Not really, but you will not know everything (nobody does). You will learn a huge amount of Mathematics and Topics of Mathematical Physics by trying to understand articles and tackling problems. However, in general, you will have your own problem to think about it.

How do you work?

If you join the group, you will have a problem to think and try to solve early, even at the undergraduate level. You will read research papers to be aware of the results and vocabulary to arrive at the problem.

I have many students and I don't have time to read all the material you write, so you will learn how to work with your colleagues. Some of them will become your collaborators. You will give seminars in which you present your results while I and some of the students check your progress. You will also attend seminars given by your colleagues. Probably some students will work with problems not in the same area of your project, so attending seminars will help you become familiar with different areas, even if just vaguely.

You are expected to read papers or topics of research even if you are taking many courses.

If you are a graduate student, it is expected you write papers and attend conferences. Even if you are an undergraduate student, probably you will take courses during the summer in other institutes (maybe IMPA).

I strongly suggest talking with the students (or former) below about how we work before asking to join us.

PS. I asked to the students about the better way to present this disclaimer above, Rafael Pereira Lima suggested this format which you are seem and helped with the text. In general, I accept all the students who want to work hard and didn't find a supervisor or topic to develop the thesis/dissertation. If you read these lines and don't know yet, you are very welcome to participate in one of our seminars.

Postdoctoral researchers

Students

Master Students

Master in Mathematics. USP

Gabriel Lube - 03/2024 - present

Topic: Generalized Countable Markov Shifts and Billiards

Grant funded by CNPq

Master in Mathematics. USP

Adriano Schneider - 03/2024 - present

Topic: Thermodynamic Formalism on Manifolds

Grant funded by CAPES

Master in Applied Mathematics. USP

Felippe Montibeller - 03/2025 - present

Topic: Localization in Discrete Schrodinger Operators

Grant funded by CAPES.

Ph.D. Students

Kelvyn Welsch

Academic Path:

Master in Applied Mathematics. USP (03/2022 - 02/2024)

Topic: Statistical Mechanics

Grant funded by FAPESP no. 22/00746-1.

Video of the Master Defense

From 02/2024 to present. PhD in Applied Mathematics. Grant funded by CAPES.

Academic Path:

From 07/2022 to 07/2024. Master in Applied Mathematics. USP

Master's Thesis: Spectral Radius of Weighted Endomorphisms with Applications on Generalized Countable Markov Shifts

From 08/2024 to present. PhD in Applied Mathematics. Grant funded by CAPES.

Gilberto Faria de Araújo 03/2022 - present

Ph.D in Applied Mathematics. (USP) DINTER Project.

Topic : Mathematical Physics: Statistical Mechanics.

Gilberto is a teacher at the Mato Grosso Federal Institute of Education, Science and Technology (IFMT). On the left, you can see him and his happy students.

Henrique Corsini

Academic Path:

From 07/2020 to 07/2022. Master in Applied Mathematics. USP

Master Thesis: A Local Compactification to Countable Markov Shifts. Grant funded by CAPES.

From 07/2022 to present. PhD in Applied Mathematics. Grant funded by CNPq and CAPES.

Former Members

Postdoctoral Researchers

3. Sieye Ryu (10/2018 - 09/2021) - Grant funded by FAPESP.

Topic: K-theory and group actions on shift dynamical systems and classification of shift spaces of finite types possessing the infinite dihedral groups.

2. Mariane Pigossi (08/2018 - 02/2019) - Grant funded by CAPES

Topic: Mathematical Physics: Discrete 1D Schrödinger Operators.

Current Position: Federal University of Espírito Santo (UFES), Brazil.

1. Felipe García-Ramos (07/2015 - 08/2016) IMPA Postdoc of excellence / IME-USP

Topic: Symbolic Dynamics/Entropy.

Current Position: Universidad Autónoma de San Luis Potosí (UASLP), Mexico.

Ph.D. Students

9. João Vitor Teixeira Maia - 01/2019 - 02/2024

Grant funded by FAPESP no. 2018/26698-8

Participant of the Master Class in Mathematical Physics | SwissMAP at the L'Université de Genève, Suisse, in the academic year 2019/2020.

PhD Thesis: Phase Transitions in Ising models: the Semi-infinite with decaying field and the Random Field Long-Range. Video of the Ph.D. defense.

Current Position: (September 2024 -) Postdoc position at the Beijing International Center for Mathematical Research (BICMR) under the supervision of Jian Ding .

Papers

8. Lucas Affonso - 03/2017 - 08/2023. Grant funded by FAPESP no. 2017/18152-2.

One year of studies abroad at University of Victoria, Canada, under supervision of Marcelo Laca (Grant funded by FAPESP) (06/2021 - 05/2022).

PhD Thesis: Multidimensional Contours à la Fröhlich-Spencer and Boundary Conditions for Quantum Spin Systems. Video of the Ph.D. defense.

Papers

Long-Range Ising Models: Contours, Phase Transitions and Decaying Fields To appear in the Journal of the European Mathematical Society (JEMS).
Quantum Statistical Mechanics via Boundary Conditions. A Groupoid Approach to Quantum Spin Systems

Current Position: . (August 2023 -) Postdoc position at the University of São Paulo (USP) under the supervision of Anatoly Yambartsev (Grant funded by FAPESP).

7. Luísa Borsato (03/2018 - 10/2022) Grant funded by FAPESP no. 2018/21067-0

One year of studies abroad at the University of British Columbia (UBC) , Canada, under supervision of Brian Marcus at (Grant funded by FAPESP)

Topics: Thermodynamic Formalism and Symbolic Dyamics.

Thesis: Strong Law of Large Numbers for Bernoulli sequences and Gibbs measures on subshifts for finite and infinite alphabets.

Paper:

Thermodynamic formalism for amenable groups and countable state spaces. To appear in the Journal of the Institute of Mathematics of Jussieu.

Current Position: She works in the private sector.

6. Thiago Costa Raszeja (03/2016 - 12/2020) Grant funded by CAPES and CNPq.

Six months of studies abroad at the University of Victoria (UVic), Canada, under supervision of Marcelo Laca at (Grant funded by CAPES)

PhD Thesis: Thermodynamic Formalism for Generalized Countable Markov Shifts.

Video of the Ph.D. defense.

Papers

Thermodynamic Formalism for Generalized Markov Shifts on Infinitely Many States.
Quasi-invariant measures for generalized approximately proper equivalence relations. Journal of Mathematical Analysis and Applications, v. 538, Issue 2, p. 128444, (2024)

(2021 - 2024) Postdoc position at the AGH University of Science and Technology, in Kraków, Poland. Under supervision of Olena Karpel.

(2024 - ) Postdoc position at the PUC-Rio.

5. Gregório Luís Dalle Vedove Nosaki (03/2016 - 12/2020) Grant funded by CAPES. Cotutelle Project under supervision of Philippe Thieullen (with double degree) at Université de Bordeaux, France. (Grant funded by CAPES )

Topic: Ergodic Theory and Turing Machines. Thermodynamic Formalism, Ground states.

Thesis: Chaos and Turing Machines on Bidimensional Models at Zero Temperature.

Video of thesis defense.

Paper

Current Position: Risk Analyst at Bradesco Bank.

4. Elmer Rusbert Calderón Beltrán (03/2015 - 03/2019) Grant funded by CNPq

Thesis: DLR measures and Volume-Type Phase Transitions on Countable Markov Shifts. Pictures (by Ricardo Freire): Ph.D. Committee (Mariana Rodrigues da Silveira, Samuel Senti, Ricardo Freire, me and Xuan Zhang), Fake gift, Real gift, Elmer's advisors (master and Ph.D.), Thiago like a boss + Rodrigo Frausino playing piano, Elmer's friends.

Paper: Infinite DLR Measures and Volume-Type Phase Transitions on Countable Markov Shifts. Nonlinearity, v. 34, Number 7, p. 4819-4843, (2021). (Journal) (arxiv). (with Eric O. Endo and R. Bissacot)

Academic Path

(2020-2022) Postdoc position at the Universidad Católica del Norte (UCN), Chile, under supervision of Jorge Littin.

(2022-) Extraordinary Professor at the National University of Moquegua (UNAM), Peru.

3. Eric Ossami Endo

(08/2014 - 07/2018) - Grant funded by FAPESP no. 2014/10637-9.

Cotutelle (Double Degree) with University of Groningen, the Netherlands. Supervisors at University of Groningen: Aernout van Enter and Daniel Valesin.

Thesis: Gibbs Measures for Models on Lines and Trees. This thesis received the cum laude from the University of Groningen.

<--- Eric receiving the cum laude from Henk Broer.

The award is supposed to be given to the 5-10% best theses of the Dutch system on the field.

Pictures of Eric's defense and Topics in Mathematical Physics conference.

Academic Path

(2018-2021) Postdoc position at NYU Shanghai under the supervision of Roberto Fernández.

(2021-present) Visiting Assistant Professor of Practice in Mathematics at NYU Shanghai. China.

2. Rodrigo Manoel Dias Andrade

(08/2012 - 08/2015) - Grant funded by CAPES.

Cotutelle (without double degree) with Universidad de la República, Uruguay. Supervisor at Universidad de la República: Roberto Markarian.

Thesis: Bernoulli property for hyperbolic billiards with nearly flat focusing boundaries.

Current Position: Assistant Professor at the Technological Federal University of Paraná (UTFPR), Brazil.

1. Edgardo Enrique Perez Reyes

(03/2012 - 03/2015) - Grant funded by FAPESP no. 2012/06368-7.

Cotutelle (without double degree) with Université de Bretagne Occidentale (UBO). Supervisor at Université de Bretagne Occidentale: Renaud Leplaideur. Thesis: Large deviations principle for Gibbs-equilibrium states on Countable Markov Shifts at zero temperature

Current Position: Assistant Professor at the Universidad de Córdoba, Colômbia.

Master Students

6. Pingao Sun - 03/2023 - 02/2025.

Master in Applied Mathematics. USP

Master Thesis: Noncommutative Entropy on Generalized Countable Markov Shifts

<--- Committee and Pingao: Misha Dokuchaev (USP), Pingao Sun, Rodrigo Bissacot (USP), and Thiago Raszeja (PUC-Rio, Brazil). Grant funded by CNPq.

Academic Path

(03/2025- ) Ph.D. at the University of São Paulo (USP), under the supervision of Edson de Faria.

5. João Felipe Rodrigues Pereira - 03/2022 - 04/2024.

Master in Applied Mathematics. USP

Master Thesis: The Concept of Surface Tension in Statistical Mechanics

<--- Committee: João Barata (USP), Thiago Raszeja (AGH University of Krakow, Poland), João and Anatoly Yambartsev (IME).

Grant funded by FAPESP no. 2022/00748-4.

4. Alexandre César da Silva Ribeiro (02/2016 - 07/2023) Grant funded by CNPq

Master Thesis: Hopf algebras over rooted tree spaces - The planar, decorated case.

Current Position: He works at the Banco do Brasil.

<---(photo-committee) Rodrigo Bissacot, Barbara Pogorelsky (UFRGS), Alexandre and Vitor de Oliveira Ferreira (USP).

Some pictures of Alexandre with his happy friends -> photo-friends

3. Rafael Pereira Lima (07/2018 - 07/2019) Grant funded by CNPq

Master Thesis: Characterization of Extremal KMS States on Groupoid C*-Algebras.

<---(photo-committee) Committee: Alexandre Baraviera (UFRGS), Cristian Ortiz (USP) and Alcides Buss (UFSC). (photo-friends)

Academic Path

(09/2019-07/2022) Ph.D. at the Victoria University of Wellington, New Zealand, under supervision of Astrid an Huef.

2. Rodrigo Frausino (03/2016 - 07/2018) - Grant funded by CAPES

Master Thesis: Groupoid C*-algebras, Conformal Measures and Phase Transitions. <-(photo): Thiago Costa Raszeja, Rodrigo Frausino, Ruy Exel and Rodrigo Bissacot

Papers

Thermodynamic Formalism for Generalized Markov Shifts on Infinitely Many States.
Quasi-invariant measures for generalized approximately proper equivalence relations. Journal of Mathematical Analysis and Applications, v. 538, Issue 2, p. 128444, (2024).

Academic Path:

(2020- 2024) Ph.D. University of Wollongong, Australia. Under the supervision of Aidan Sims.

1. Bruno Kimura (03/2014 - 08/2015) - Grant funded by CNPq

Master Thesis: Gibbs Measures on Subshifts.

Academic Path:

(09/2015-08/2019) Ph.D. student under supervision of Wioletta M. Ruszel at TU Delft, the Netherlans.

(09/2019 - 08/2024) Postdoc Position at the Hokkaido university, under supervision of Akira Sakai.

(09/2024 - ) Assistant Professor at the Hokkaido University, Japan.

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