photo by Guillermo Castillo González
Hannah Alpert
Courses
Fall 2023, MATH 7760: Algebraic Topology I.
Fall 2023 and 2022, MATH 5500/6500: Introduction to Topology.
Spring 2023, MATH 2660 Section 110: Topics in Linear Algebra.
Spring 2022 and Fall 2021, MATH 2667: Honors Topics in Linear Algebra.
Fall 2021, MATH 2660 Section 095: Topics in Linear Algebra.
Spring 2021, MATH 105 Section 208: Integral Calculus with Applications to Commerce and Social Sciences.
Fall 2020, MATH 190: Calculus Survey.
Spring 2020, MATH 105 Section 204: Integral Calculus with Applications to Commerce and Social Sciences.
Fall 2019, MATH 104 Section 101: Differential Calculus with Applications to Commerce and Social Sciences.
Spring 2018, Math 8800: Topics in Topology (Introduction to Geometric Group Theory).
Spring 2018, Math 4581: Abstract Algebra II.
Fall 2017, Math 4581: Abstract Algebra II.
Places
Auburn University
, Fall 2021-
University of British Columbia
, Fall 2019 - Spring 2021.
The Ohio State University
, Spring 2017 - Spring 2019.
ICERM
, Fall 2016.
MIT
, Ph.D. June 2016 (advisor Larry Guth).
MathILy-EST
, Summer 2020.
MathILy
, Summer 2013-2022.
Boston Math Circle
, Fall 2012.
Canada/USA Mathcamp
, Summer 2012.
RIPS at IPAM
, Summer 2011.
University of Chicago
, B.S. Mathematics, June 2011.
Lafayette College REU
, Summer 2010.
Budapest Semesters in Mathematics
, Fall 2009.
University of Minnesota Duluth REU
, Summer 2009.
Willamette Valley REU-RET Consortium for Mathematics Research
, Summer 2008.
MathPath
, camp counselor, Summer 2007.
Fairview High School
, graduated June 2007.
Colorado ARML
, team member, 2006 and 2007.
Hampshire College Summer Studies in Mathematics, Summer 2004, 2005, 2006.
Papers
H. Alpert,
Simplicial volume and 0-strata of separating filtrations
, submitted for publication and available at arXiv:2211.06362.
H. Alpert, A. Balitskiy, L. Guth,
Systolic almost-rigidity modulo 2
, submitted for publication and available at arXiv:2206.01968.
H. Alpert, M. Kahle, R. MacPherson,
Asymptotic Betti numbers for hard squares in the homological liquid regime
, accepted for publication in
International Mathematics Research Notices
and available at arXiv:2207.13139.
H. Alpert, F. Manin,
Configuration spaces of disks in a strip, twisted algebras, persistence, and other stories
, accepted for publication in
Geometry & Topology
and available at arXiv:2107.04574.
H. Alpert, A. Balitskiy, L. Guth,
Macroscopic scalar curvature and codimension 2 width
, accepted for publication in
Journal of Topology and Analysis
and available at arXiv:2112.04594.
H. Alpert, U. Bauer, M. Kahle, R. MacPherson, K. Spendlove,
Homology of configuration spaces of hard squares in a rectangle
,
Algebraic & Geometric Topology
23
(6), 2593-2626, 2023.
H. Alpert,
Macroscopic stability and simplicial norms of hypersurfaces
,
Communications in Analysis and Geometry
30
(5), 949-959, 2022.
H. Alpert, M. Belolipetsky,
Thickness of skeletons of arithmetic hyperbolic orbifolds
,
Journal of Topology and Analysis
14
(3), 749-765, 2022.
H. Alpert, R. Barnes, S. Bell, A. Mauro, N. Nevo, N. Tucker, H. Yang,
Routing by matching on convex pieces of grid graphs
,
Computational Geometry
104
, 101862, 2022.
H. Alpert, M. Kahle, R. MacPherson,
Configuration spaces of disks in an infinite strip
,
Journal of Applied and Computational Topology
5
, 357-390, 2021.
H. Alpert, É. Roldán,
Art gallery problem with rook and queen vision
,
Graphs and Combinatorics
37
, 621–642, 2021.
H. Alpert,
Discrete configuration spaces of squares and hexagons
,
Journal of Applied and Computational Topology
4
(2), 263-280, 2020.
H. Alpert,
Restricting cohomology classes to disk and segment configuration spaces
,
Topology and its Applications
230
, 51--76, 2017.
H. Alpert, K. Funano,
Macroscopic scalar curvature and areas of cycles
,
Geometric and Functional Analysis
27
(4), 727-743, 2017.
H. Alpert,
Using simplicial volume to count maximally broken Morse trajectories
,
Geometry & Topology
20
(5), 2997-3018, 2016.
H. Alpert, G. Katz,
Using simplicial volume to count multi-tangent trajectories of traversing vector fields
,
Geometriae Dedicata
180
(1), 323--338, 2015.
H. Alpert, L. Guth,
A family of maps with many small fibers
,
Journal of Topology and Analysis
07
(01), 73--79, 2015.
H. Alpert, J. Iglesias,
Length 3 Edge-Disjoint Paths Is NP-Hard
,
Computational Complexity
21
(3), 511-513, 2012.
H. Alpert, J. Iglesias,
Length 3 Edge-Disjoint Paths and Partial Orientation
, 2012, arXiv:1201.6578.
H. Alpert,
Finite phase transitions in countable abelian groups
,
Archiv der Mathematik
96
(4), 311-320, 2011.
H. Alpert,
Rank numbers of grid graphs
,
Discrete Mathematics
310
(23), 3324-3333, 2010.
H. Alpert,
Differences of multiple Fibonacci numbers
,
INTEGERS: Electronic Journal of Combinatorial Number Theory
9
, 745-749, 2009.
H. Alpert, C. Koch, J. Laison,
Obstacle numbers of graphs
,
Discrete and Computational Geometry
44
(1), 223–244, 2010.
M. Albertson, H. Alpert, s.-m. belcastro, R. Haas,
Grünbaum colorings of toroidal triangulations
,
Journal of Graph Theory
63
(1), 68–81, 2010.
Awards
2022
Simons Foundation Travel Support for Mathematicians Grant
.
2018
NSF Mathematical Sciences Postdoctoral Research Fellowship
.
2012
Frank and Brennie Morgan Prize
, honorable mention.
2011
NSF Graduate Research Fellowship
.
2010
Alice T. Schafer Prize
.
2009
Barry M. Goldwater Scholarship
.
2009
MAA Undergraduate Poster Session Prize
.