Ph.D., The University of Chicago, 2000 (Advisor: R. Fefferman)
S.M., The University of Chicago, 1995
B.A., Rice University, 1994
Paul Hagelstein grew up in Graham, Texas. Majoring in mathematics and physics, he received his undergraduate degree at Rice University. Subsequently he attended graduate school at The University of Chicago where he received a Ph. D. in Mathematics. After a three year postdoctoral fellowship at Princeton University, he joined the Baylor faculty in the fall of 2003. His primary research interest is in harmonic analysis, with most of his work involving geometric maximal operators, convergence of Fourier series, and interpolation theory. While not trying to prove theorems, he enjoys practicing the piano, playing the trombone in the Waco Community Band, and attempting to become a proficient tournament Scrabble player.
Academic Interests and Research
Dr. Hagelstein's research is in harmonic analysis.
Hagelstein, P. A. and Parissis, I. Density bases associated to Nagel-Stein approach regions, Studia Math. 251 (2020), 317-326.
Dmitrishin, D., Hagelstein, P. A., Khamitova, A., and Stokolos, A., Limitations of robust stability of a linear delayed feedback control, SIAM J. Control Optim. 56 (2018), 148-157.
Hagelstein, P. A. and Parissis, I., Solyanik estimates and local Holder continuity of halo functions of geometric maximal operators, Adv. Math. 285 (2015), 434-453.
Hagelstein, P. A., Luque, T., and Parissis, I., Tauberian conditions, Muckenhoupt weights, and differentiation properties of weighted bases, Trans. Amer. Math. Soc. 367 (2015), 7999-8032.
Hagelstein, P. A. and Stokolos, A. Tauberian conditions for geometric maximal operators, Trans. Amer. Math. Soc. 361 (2009), 3031-3040.
Dr. Hagelstein enjoys teaching students at all levels, ranging from Freshman Precalculus to Graduate Complex Analysis.
Courses taught at Baylor
MTH 1304 Precalculus
MTH 1321 Calculus I
MTH 1321(H2) Honors Calculus I
MTH 1322 Calculus II
MTH 1322(H2) Honors Calculus II
MTH 2321 Calculus III
MTH 3326 Partial Differential Equations
MTH 4326 Advanced Calculus I
MTH 4327 Advanced Calculus II
MTH 5323 Theory of Functions of Real Variables I
MTH 5324 Theory of Functions of Real Variables II
MTH 5350 Complex Analysis
MTH 5V23 Special Topics in Analysis
MTH 6V23 Advanced Topics in Analysis