photo by Guillermo Castillo González
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.
, Fall 2021-
University of British Columbia
, Fall 2019 - Spring 2021.
The Ohio State University
, Spring 2017 - Spring 2019.
, Fall 2016.
, Ph.D. June 2016 (advisor Larry Guth).
, Summer 2020.
, Summer 2013-2019, 2021.
Boston Math Circle
, Fall 2012.
, 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.
, camp counselor, Summer 2007.
Fairview High School
, graduated June 2007.
, team member, 2006 and 2007.
Hampshire College Summer Studies in Mathematics, Summer 2004, 2005, 2006.
H. Alpert, U. Bauer, M. Kahle, R. MacPherson, K. Spendlove,
Configuration spaces of hard squares in a rectangle
, submitted for publication and available at arXiv:2010.14480.
Generalized representation stability for disks in a strip and no-k-equal spaces
, available at arXiv:2006.01240.
H. Alpert, M. Kahle, R. MacPherson,
Configuration spaces of disks in an infinite strip
, submitted for publication and available at arXiv:1908.04241.
H. Alpert, M. Belolipetsky,
Thickness of skeletons of arithmetic hyperbolic orbifolds
, available at arXiv:1811.05280.
Macroscopic stability and simplicial norms of hypersurfaces
, to appear in
Communications in Analysis and Geometry
and available at arXiv:1712.04545.
H. Alpert, É. Roldán,
Art gallery problem with rook and queen vision
Graphs and Combinatorics
, 2021, DOI 10.1007/s00373-020-02272-8.
Discrete configuration spaces of squares and hexagons
Journal of Applied and Computational Topology
(2), 263-280, 2020.
Restricting cohomology classes to disk and segment configuration spaces
Topology and its Applications
, 51--76, 2017.
H. Alpert, K. Funano,
Macroscopic scalar curvature and areas of cycles
Geometric and Functional Analysis
(4), 727-743, 2017.
Using simplicial volume to count maximally broken Morse trajectories
Geometry & Topology
(5), 2997-3018, 2016.
H. Alpert, G. Katz,
Using simplicial volume to count multi-tangent trajectories of traversing vector fields
(1), 323--338, 2015.
H. Alpert, L. Guth,
A family of maps with many small fibers
Journal of Topology and Analysis
(01), 73--79, 2015.
H. Alpert, J. Iglesias,
Length 3 Edge-Disjoint Paths Is NP-Hard
(3), 511-513, 2012.
H. Alpert, J. Iglesias,
Length 3 Edge-Disjoint Paths and Partial Orientation
, 2012, arXiv:1201.6578.
Finite phase transitions in countable abelian groups
Archiv der Mathematik
(4), 311-320, 2011.
Rank numbers of grid graphs
(23), 3324-3333, 2010.
Differences of multiple Fibonacci numbers
INTEGERS: Electronic Journal of Combinatorial Number Theory
, 745-749, 2009.
H. Alpert, C. Koch, J. Laison,
Obstacle numbers of graphs
Discrete and Computational Geometry
(1), 223–244, 2010.
M. Albertson, H. Alpert, s.-m. belcastro, R. Haas,
Grünbaum colorings of toroidal triangulations
Journal of Graph Theory
(1), 68–81, 2010.
NSF Mathematical Sciences Postdoctoral Research Fellowship
Frank and Brennie Morgan Prize
, honorable mention.
NSF Graduate Research Fellowship
Alice T. Schafer Prize
Barry M. Goldwater Scholarship
MAA Undergraduate Poster Session Prize