Alyssa Genschaw
Assistant Professor
- Milwaukee WI UNITED STATES
- Mathematics
Dr. Alyssa Genschaw's research combines harmonic analysis, geometric measure theory and partial differential equations.
Education, Licensure and Certification
Ph.D.
Mathematics
University of Missouri
2019
M.S.
Mathematics
Northern Illinois University
2015
B.S.
Mathematics
Northern Michigan University
2013
Biography
Areas of Expertise
Accomplishments
Advanced Graduate Ambassadorship Award
2019
Women and Mathematics Program at the Institute for Advanced Study
Nigel Kalton Fellowship
2018
University of Missouri
John D. Bies International Travel Award
2018
University of Missouri
Distinguished Teaching Award
2017
University of Missouri
Outstanding Community Service Award
2017
University of Missouri
Social
Event and Speaking Appearances
Solvability of the Dirichlet Problem with L^p Data for Caloric Measure
Analysis Seminar The University of Alabama
2021-01-21
A weak reverse H{\"o}lder inequality for parabolic measure
AMS Sectional Meeting AMS Special Session American Mathematical Society
2018-11-03
A weak reverse Holder inequality for parabolic measure
Analysis Seminar Kansas State University
2018-05-01
Selected Publications
BMO Solvability and Absolute Continuity of Caloric Measure
arXiv:1904.08407We show that BMO-solvability implies scale invariant quantitative absolute continuity (specifically, the weak-A∞ property) of caloric measure with respect to surface measure, for an open set Ω⊂ℝn+1, assuming as a background hypothesis only that the essential boundary of Ω satisfies an appropriate parabolic version of Ahlfors-David regularity, entailing some backwards in time thickness.
A Weak Reverse Holder Inequality for Caloric Measure
arXiv:1809.10510 Search...Following a result of Bennewitz-Lewis for non-doubling harmonic measure, we prove a criterion for non-doubling caloric measure to satisfy a weak reverse Holder inequality on an open set Ω, assuming as a background hypothesis only that the essential boundary of Ω satisfies an appropriate parabolic version of Ahlfors-David regularity (which entails some backwards in time thickness).
