Graduate Lecture series in Analysis and PDEs

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  • Apr. 29. 2025, Shrey Aryan, Soliton resolution for the energy-critical nonlinear heat equation in the radial case
  • Apr. 22. 2025, Jungkyoung Na, Global self-similar solutions for the 3D Muskat Equation II
  • Apr. 15. 2025, Jungkyoung Na, Global self-similar solutions for the 3D Muskat Equation I
  • Apr. 8. 2025, Mathieu Lise, Probabilistic approaches to the supercooled Stefan problem
  • Apr. 1. 2025, Carlos A.C.C. Perello, On the existence of 2D locally optimal, stationary and ergodic matchings
  • Mar. 18. 2025, Ella Wilson, Harmonic Functions of Polynomial Growth
  • Mar. 11. 2025, Fernando Benito Fernández de la Cigoña, Ahlfors regular measures, doubling measures and measures minimizing the doubling constant II
  • Mar. 4. 2025, Fernando Benito Fernández de la Cigoña, Ahlfors regular measures, doubling measures and measures minimizing the doubling constant I
  • Feb. 11. 2025, Tainara Borges, Pinned nonempty interior for distance sets in the plane
  • Feb. 4. 2025, Haram Ko, Rotating fluids 2
  • Jan. 28. 2025, Haram Ko, Rotating fluids 1
  • 2025-Spring Seminar
  • Dec. 3. 2024, Hyunwoo Kwon, Local $C^1$, $C^2$, and Schauder estimates for Stokes equations with variable coefficients II
  • Nov. 26. 2024, Hyunwoo Kwon, Local Sobolev, $C^1$, $C^2$, and Schauder estimates for Stokes equations with variable coefficients
  • Nov. 19. 2024, Xiaoding Yang, Minimal surface problem II
  • Nov. 12. 2024, Xiaoding Yang, Minimal surface problem I
  • Oct. 29. 2024, Alex Cohen, Lower bounds for incidences II
  • Oct. 22. 2024, Alex Cohen, Lower bounds for incidences I
  • Oct. 15. 2024, Martin Ulmer, The $L^p$ Dirichlet problem, part II
  • Oct. 8. 2024, Martin Ulmer, The $L^p$ Dirichlet problem
  • Oct. 1. 2024, Maria Prat Colomer, Computer-assisted proofs in ODEs and PDEs
  • Sep. 24. 2024, Marcus Pasquariello, Medians, Oscillation, and Weakly Porous Sets II
  • Sep. 17. 2024, Marcus Pasquariello, Medians, Oscillation, and Weakly Porous Sets I
  • Sep. 10. 2024, Ben Foster, Two methods for studying level sets of solutions to elliptic PDEs
  • 2024-Fall Seminar
  • Apr 23. 2024, Wenrui Huang, Stationary Phase and Dispersive Estimates II
  • Apr 16. 2024, Wenrui Huang, Stationary Phase and Dispersive Estimates I
  • Apr 9. 2024, Aidan Backus, Optimal Lipschitz extension II
  • Apr 2. 2024, Aidan Backus, Optimal Lipschitz extension I
  • Mar 19. 2024, Hyunwoo Kwon, Local Well-posedness and singularity formation of Burgers equations
  • Mar 12. 2024, Hyunwoo Kwon, Local Well-posedness of Burgers equations with Sobolev initial data
  • Mar 5. 2024, Nathan Wagner, Sparse Domination of the Dyadic Hilbert Transform with Non-Doubling Measures II
  • Feb. 27. 2024, Nathan Wagner, Sparse Domination of the Dyadic Hilbert Transform with Non-Doubling Measures I
  • Feb 22. 2024, Zhuolun Yang, On stationary Navier-Stokes equations (unusual time and location)
  • Feb 13. 2024, Zhuolun Yang, On stationary Navier-Stokes equations
  • Feb 6. 2024, Alexander Edward Ortiz, A sharp Mizohata--Takeuchi-type theorem for the cone II
  • Jan 30. 2024, Alexander Edward Ortiz, A sharp Mizohata--Takeuchi-type theorem for the cone I
  • 2024-Spring Seminar
  • Dec. 5. 2023, Paige Bright, Exceptional Set Estimates
  • Nov. 28. 2023, Paige Bright, From Discrete Geometry to Geometric Measure Theory
  • Nov. 16. 2023, Cole Graham, Shock formation in weakly viscous compressible fluids
  • Nov. 7. 2023, Cole Graham, Vanishing viscosity and Burgers shock formation
  • Oct. 31. 2023, Benjamin Dees, Harmonic Maps into Singular Spaces II
  • Oct. 24. 2023, Benjamin Dees, Harmonic Maps into Singular Spaces I
  • Oct. 17. 2023, Junhwa Jung, Hydrodynamic limit of Boltzmann equation II
  • Oct. 11. 2023, Junhwa Jung, Hydrodynamic limit of Boltzmann equation I (unusual Time 12:00 - 13:30)
  • Oct. 3. 2023, Junhee Ryu, Nonlocal equations on domains II
  • Sep. 26. 2023, Junhee Ryu, Nonlocal equations on domains
  • Sep. 19. 2023, Tainara Gobetti Borgers, A singular variant of the Falconer distance problem II
  • Sep. 12. 2023, Tainara Gobetti Borgers, A singular variant of the Falconer distance problem I
  • 2023-Fall seminar
  • Apr. 25. 2023, Timur Yastrzhembskiy, Global well-posedness of the Landau equation near Maxwellian II
  • Apr. 18. 2023, Timur Yastrzhembskiy, Global well-posedness of the Landau equation near Maxwellian I
  • Apr. 11. 2023, Nathan Wagner, Riesz-Kolmogorov Type Compactness Criteria in Function Spaces with Applications II
  • Apr. 4. 2023, Nathan Wagner, Riesz-Kolmogorov Type Compactness Criteria in Function Spaces with Applications I
  • Mar. 21. 2023, Patrick Flynn, Hormander's Hypoellipticity Theorem II
  • Mar. 14. 2023, Patrick Flynn, Hormander's Hypoellipticity Theorem I
  • Mar. 7. 2023, Bekarys Bekmaganbetov, Generalized Fefferman-Stein theorem and parabolic PDEs
  • Feb. 28. 2023, Bekarys Bekmaganbetov, Generalized Fefferman-Stein theorem
  • Feb. 14. 2023, Hyunwoo Kwon, a role of pressure in the regularity theory of Navier-Stokes equations
  • Feb. 7. 2023, Aidan Backus, The fractal uncertainty principle II (Fractals of small dimension)
  • Jan. 31. 2023, Aidan Backus, The fractal uncertainty principle I (Application to spectral theory)
  • 2023-Spring seminar