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.