1. I. Ampatzoglou and T. Léger (2026) Moment-preserving Young's inequality for the hard potential Boltzmann gain operator, submitted 

2. I. Ampatzoglou and T. Léger (2026) Global existence of strong solutions to the inhomogeneous kinetic wave equation, Comm. Math. Phys. 407, 144

3. I. Ampatzoglou and T. Léger (2026) On the optimal well-posedness of the wave kinetic  equation, J. Differential Equations 477, 114531 

4. I. Ampatzoglou, I.M. Gamba, N. Pavlović and M. Tasković (2026) Moment estimates and well-posedness of the binary-ternary Boltzmann equation, Pure Appl. Anal. 8 (1) 189-245

5. I. Ampatzoglou, N. Pavlović and W. Warner (2024) Derivation of the higher order Boltzmann equation for hard spheres, submitted

6. I. Ampatzoglou and T. Léger (2025) On the ill-posedness of kinetic wave equations, Nonlinearity 38, 115004 

7. I. Ampatzoglou, C. Collot and P. Germain (2025) Derivation of the kinetic wave equation for quadratic dispersive problems, Amer. J. Math. 147 (4), 1053-1158

8. I. Ampatzoglou, J, K. Miller, N. Pavlović and M. Tasković (2025) Inhomogeneous wave kinetic equation and its hierarchy in polynomially weighted spaces, Commun. Partial Differential Equations 50 (6), 723-765

9. I. Ampatzoglou, J, K. Miller, N. Pavlović and M. Tasković (2025) On the global in time existence and uniqueness of solutions to the Boltzmann hierarchy, J. Funct. Anal. 289 (9), 111079

10. I. Ampatzoglou and N. Pavlović (2025) Rigorous derivation of a binary-ternary Boltzmann equation for a non ideal gas of hard spheres, Forum Math. Sigma 13, e52

11. I. Ampatzoglou (2024) Global well-posedness and stability of the inhomogeneous kinetic wave equation near vacuum, Kinet. Relat. Models 17 (6), 838-854

12. I. Ampatzoglou, J. K. Miller and N. Pavlović (2022) A Rigorous Derivation of a Boltzmannn System for a Mixture of Hard-Sphere Gases, SIAM J. Math. Anal. 54 (2), 2320-2372

13. I. Ampatzoglou, I.M. Gamba, N. Pavlović and M. Tasković (2022) Global well-posedness for a binary-ternary Boltzmann equation, Ann. Inst. H. Poincaré C Anal. Non Linéaire 39 (2), 327-369

14. I. Ampatzoglou and N. Pavlović (2021) Rigorous derivation of a ternary Boltzmann equation for a classical system of particles, Comm. Math. Phys. 387, 793-863

15. I. Ampatzoglou (2020) Higher Order extensions of the Boltzmann equation, Ph.D. Dissertation UT Austin

16. I. Ampatzoglou (2020) On the ℓ1 non-embedding in the James Tree Space, Expo. Math. 38 (1), 112-130

• PSC-CUNY Research Award 68653-00 56

-Project: "Strong solutions of the Boltzmann equation"       

-Period: 07/01/2025 - 06/30/2026

• National Science Foundation (NSF) Research Grants DMS-2206618, DMS-2418020

-Project: "Effective equations for large systems of interacting particles or waves"

-Period: 05/01/2022 - 04/30/2026

• Workshop on Pure and Applied Analysis 2026, Texas A&M University, TX, USA (2026)

• 15th AIMS Conference, Special Session:  Recent advances in kinetic theory, National Kapodistrian University of Athens, Greece (2026)

• Turbulent Days, Imperial College, London, UK (2026)

• AMS 2026 Spring Eastern Sectional Meeting, Special Session: Mathematical Analysis of Kinetic Models and Related PDEs, Boston College, MA, USA (2026)

• Simons Collaboration on Wave Turbulence Annual Meeting, Attendance, New York City, USA (2025)

• SIAM Conference on Analysis of Partial Differential Equations (PD2025), Mini-symposium: Many-body systems and their effective equations,  Pittsburgh, PA, USA (2025)

• Kinetic Theory: Novel Statistical, Stochastic and Analytical Methods, SLMath, Berkeley, CA, USA (2026)

• AIM Workshop on Integro-Differential Equations in many particle systems,  Caltech, CA, USA (2025)

• Differential Equations Seminar, University of Michigan, MI, USA (2025)

•  JMM Meeting, Special Session: Advances in Nonlinear Dispersive and Kinetic Equations, Seattle, WA, USA (2025)

• Simons Collaboration on Wave Turbulence Annual Meeting, Invited attendance, New York City, NY, USA (2024)

• Hyperbolic and Dispersive PDE seminar, Rutgers University, NJ, USA (2024)

• AMS 2024 Spring Eastern Sectional Meeting, Special Session: Nonlinear Hamiltonian PDEs, Howard University, Washington DC, USA (2024)

• Simons Collaboration on Wave Turbulence Annual Meeting, Invited attendance, New York City, NY, USA (2023)

• 13th AIMS Conference, Special Session: Nonlinear models in kinetic theory, collective behavior, and fluid dynamics, UNC Wilmington, NC, USA  (2023)

• Mafran Days, University of Cambridge, UK (2023) 

• Colloquium talk, Georgia Tech, GA, USA (2023)

• Colloquium Talk, CUNY Baruch College, NY, USA (2023)

• Colloquium Talk, Clemson University, SC, USA (2023)

• Simons Collaboration on Wave Turbulence Annual Meeting, Invited attendance, New York City, NY, USA (2022)

• AMS 2022 Fall Eastern Sectional Meeting, Special Session: Topics in PDEs and Harmonic Analysis, U Mass--Amherst, USA (2022)

• Analysis Seminar, UT Austin, TX, USA (2022)

• Courant Instructor Day, Courant Institute of Mathematical Sciences, NYU, NY, USA (2022)

• Simons Collaboration on Wave Turbulence Annual Meeting, Invited attendance, New York City, NY, USA (2021)

• Analysis and Differential Geometry Seminar, Emory University, GA, USA (2021)

• Analysis Seminar, Courant Institute of Mathematical Sciences, NYU, NY, USA (2021)

• Princeton Fluids Seminar, Princeton University, NJ, USA (2021)

• Ph.D. Dissertation Defense, UT Austin, TX, USA (2020)

• SIAM Conference on Analysis of Partial Differential Equations (PD2019), Mini Symposium: Kinetic Modeling: Analysis and Applications  La Quinta, CA, USA (2019)

• Analysis and PDE Seminar, Michigan State University, MI, USA  (2019)

• Summer School Trails in kinetic theory: foundational aspects and numerical methods, Poster Session,  Hausdorff Research Institute for Mathematics (HIM), Bonn, Germany (2019)

• Ohio River Analysis Meeting (ORAM), The University of Cincinnati, OH, USA (2019)

• Texas Analysis and Mathematical Physics Symposium (TexAMP),  Baylor University, TX, USA (2018)

• Geometric Analysis Seminar,  The University of Tennessee, Knoxville TN, USA (2018)

•  13th AIMS Conference, Special Session on  Nonlinear evolution equations, Taipei, Taiwan (2018)

• First Congress of Greek Mathematicians for the 100th anniversary of the Hellenic Mathematical Society,  Athens, Greece (2018)

• Ph.D. Candidacy Talk, UT Austin, TX, USA (2018)

• Junior Analysis Seminar, UT Austin, TX, USA (2018)

• Thesis Presentation, National Technical University of Athens, Greece (2014)