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The three generations of my mathematical family, from left to right: Régis Aolo, Steven Robertson, Detta Dickinson, Faustin Adiceam, Victor Shirandami, and me.
- Conference on Diophantine Approximation, Fractal Geometry, and Related Topics. Paris, June 2024.
Universidade Estadual Paulista
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Instituto de Biociências, Letras e Ciências Exatas
Departmento de Mathemática
São José do Rio Preto,
São Paulo, Brasil
(SP, 15054-00)
About me
Curriculum Vitae - Research Statement
Hello, my name is Ioannis Tsokanos and I am a mathematician coming from Greece. Currently, I hold a postdoctoral position at the Paulista State University (Universidade Estadual Paulista), Brazil, under the mentorship of Prof. Ali Messaoudi.
In June 2022, I received my PhD from the University of Manchester under the supervision of Prof. Faustin Adiceam.
Thesis: On some Topics on the Irregularity of Distribution pertaining to Combinatorics and Geometric Discrepancy
In the academic year 2022-2023, I was a research associate at the same university under the mentorship of Dr. Vandita Patel.
The main focus of my research has been on Diophantine approximation and dynamical systems: not only in the theory but also in their connections with problems from convex geometry and stochastic processes. The mathematical tools I have used and developed so far exploit ideas from various fields including the theory of Continued Fractions & the Irregularity of Distribution, Discrete & Combinatorial Geometry, Probability Theory, and Operator Theory.
Mathematics
Publications:
Publications:
Stochastic Adding Machines and Julia Sets (with D. A. Caprio, A. Messaoudi, G. Valle), submitted.
Shadowing and Stability of non-invertible p-adic Dynamics (with D. A. Caprio, F. Lenarduzzi, A. Messaoudi), submitted.
Randomization in the Josephus Problem (with F. Adiceam, S. Robertson, V, Shirandami), Comb. and Number Theory 13 (2024), no. 3, 278 – 298. (Link)
Visibility Properties of Spiral Sets (with F. Adiceam), Mosc. J. Comb. Number Theory 11 (2022), no. 2, 149–159. (Link)
Danzer's Problem, Effective Constructions of Dense Forests and Digital Sequences, Mathematika 68 (2022), no. 4, 1014–1029. (Link)
Density of Oscillating Sequences in the Real Line, Unif. Distrib. Theory 17 (2022), no. 1, 105–130. (Link)
Higher Dimensional Spiral Delone Sets (with F. Adiceam), Funct. Approx. Comment. Math. 67 (2022), no. 1, 21-46 (Link)
Teaching:
Teaching:
Universidade Estadual Paulista (2023-2024): mini course in Diophantine Approximation (MSc & PhD) (notes).
University of Manchester (2020-2022): tutorials in Combinatorics and Graph Theory (3rd Year).
Talks:
Talks:
Operators of Stochastic Adding Machines and Julia Sets, Séminaire COOL 2024, Université Paris-Est Créteil (UPEC), Laboratoire d'Analyse et de Mathématiques Appliquées (LAMA).
Shadowing and Stability of Non-invertible p-adic Dynamics, Diophantine Approximation, Fractal Geometry and Related Topics 2024, Université Gustave Eiffel.
Randomization in the Josephus Problem, Online Seminar in Diophantine Approximation and Related Topics.
Randomization in the Josephus Problem, Seminar of Mathematics 2024, Universidade Estadual Paulista, IBILCE.
Randomization in the Josephus Problem, Seminar of Mathematics 2024, Universidade Estadual Paulista, Câmpus de Ilha Solteira.
Density of Oscillating Sequences in the Real Line, XII Workshop on Dynamical Systems 2023, Universidade Estadual Paulista.
Density of Oscillating Sequences in the Real Line, Number Theory Seminar 2023, University of York.
Visibility Problems in Discrete Geometry, Colloquium Talk Series 2023, Maynooth University.
Density of Oscillating Sequences in the Real Line, Greek Algebra and Number Theory Seminar 2022, Online Seminar.
Density of Oscillating Sequences in the Real Line, Probability and Ergodic Theory Seminar 2022, Ben-Gurion University.
Visibility Properties in Spirals and Forests, Number Theory Seminar 2021-2022, University of Manchester.
Visibility Problems in Discrete Geometry, Pure Mathematics Postgrad Seminar 2021-2022, University of Manchester.
Higher Dimensional Spiral Delone Sets, Mathematics Research Students' Conference 2021, University of Manchester. (Slides)
Density of Oscillating Sequences in the Real Line, Young Researchers in Mathematics 2021, University of Bristol. (Slides)
An Introduction to Combinatorial Geometry, Pure Mathematics Postgrad Seminar 2020-2021, University of Manchester. (Slides)
Danzer's Problem, Dense Forests and Super Uniform Dispersion, Mathematics Research Students' Conference 2020, University of Manchester.
Main Grants, Awards & Distinctions:
Main Grants, Awards & Distinctions:
Research Grant as co-principal investigator (2025-2027); awarded by the Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP).
Research Grant (2022-2023); awarded by the Engineering and Physical Sciences Research Council (EPSRC), University of Manchester, UK.
Third Prize in "International Mathematic Competition for University Students" IMC 2016, Bulgaria.
Second Prize in "International Mathematic Competition for University Students" IMC 2015, Bulgaria.
Gold Medal in "South Eastern Mathematical Olympiad for University Students" SEEMOUS 2014, Romania.
Who am I?
Born in beautiful Patras, Greece. I like sports and every kind of competitive activity for the sake of focusing on your best self. Mostly, I enjoy practicing martial arts. In particular, I am a Tae Kwon Do athlete since 2004 and I am counting fifteen national distinctions. One of my most important athletic moments is this one, where I am fighting against the gold medalist of Olympic Games "Rio 2016". During March 2018 I traveled for 2 weeks around Europe using an interrail pass, starting from Greece and reaching as far as Scotland.
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