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.
(with A. Stokolos) Tauberian conditions for geometric maximal operators, to appear in Trans. Amer. Math. Soc.
Problems in interpolation theory related to the almost everywhere convergence of Fourier series, In: Proceedings of the International Conference on Ergodic Theory and Harmonic Analysis, De Paul University, 2005 (to appear).
Orlicz bounds for operators of restricted weak type, Colloq. Math. 103 (2005), 193–197.
Weak L^1 norms of random sums, Proc. Amer. Math. Soc. 133 (2005), 2327–2334.
(with R. L. Jones) On restricted weak type (1,1): the continuous case, Proc. Amer. Math. Soc. 133 (2005), 185–190.
On the uniqueness of the uncentered ergodic maximal function, Fund. Math. 183 (2004), no. 1, 81–90.
Dr. Hagelstein loves 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