CV
Appointments
- Senior Lecturer of Mathematics, University of Pennsylvania
July 2019 — - Teaching Assistant Professor of Mathematics, North Carolina State University
August 2013 — June 2019 - Hans Rademacher Instructor of Mathematics, University of Pennsylvania
July 2011 — July 2013
Education
- Ph.D., Mathematics, Michigan State University, August 2011
Thesis: Mean Curvature Flow in Higher Codimension
Adviser: Jon G. Wolfson - B.S., Mathematics, The Honors College, Michigan State University, August 2005
With High Honor. Major coursework in linguistics.
Scholarship and Publications
- Geometric Analysis and Differential Geometry
- “Singularities of the Lagrangian Mean Curvature Flow”, submitted
arxiv:1505.01856 - “A Maximum Principle for Circle-Valued Temperatures”, (2021)
Advances in Geometry, 21 (1), 125-132
- “Polygon Curvature Flow” with Jessie de la Cruz Santos, Ryan Gallagher, and Sarah Hadaidi (2014)
- “A Characterization of the Singular Time of the Mean Curvature Flow” (2011)
Proceedings of the AMS, 139 (8), 2933–2942 - “A Compactness Theorem for the Second Fundamental Form” (2010)
arXiv:1006.5697
- “Singularities of the Lagrangian Mean Curvature Flow”, submitted
- Algebraic Topology
- “Point Configurations with Coincidence on Graphs”, submitted
- “State Sum Homology for Simplicial Complexes” with Radmila Sazdanovic, preprint
- “On Configuration Spaces and Simplicial Complexes” with Vin de Silva and Radmila Sazdanovic (2019)
New York Journal of Mathematics, 25, 723–744
- “Homology of Generalized Generalized Configuration Spaces” with Vin de Silva and Radmila Sazdanovic (2016)
TOPOSYM abstracts, p 78
- Teaching, Outreach, and Mathematics Education
- “Incorporating Critical and Creative Thinking in a Transitions Course” (2021)
PRIMUS, 31(9), 995-1006 - “Techniques Grading: Mastery Grading for Proofs Courses”, (2020)
PRIMUS, 30(8-10), 1071–1086
- “Understanding Mathematical Induction by Writing Analogies” (2019)
Prompt, 3(2), 14–24 - “Snapshots of modern mathematics from Oberwolfach: writing about mathematics for a wide audience” with Carla Cederbaum (2016)
Notices of the AMS, 63 (8), 914–916
- “Incorporating Critical and Creative Thinking in a Transitions Course” (2021)
Conference and Seminar Talks
- seminar talks
- University of Pennsylvania Geometry/Topology Seminar, October 2020
- Talk Math With Your Friends, May 2020
- Temple Geometry and Topology Seminar, February 2019
- Claremont Topology Seminar, January 2019
- North Carolina State University Geometry and Topology Seminar, April 2018
- University of Georgia Geometry Seminar, March 2018
- Duke University Geometry/Topology Seminar, February 2016
- Oberseminar Geometrische Analysis und Mathematisches Relativitätstheorie, Eberhard Karls Universität Tübingen, October 2015
- Michigan State University Geometry Seminar, March 2015
- Rutgers University Geometric Analysis Seminar, March 2015
- North Carolina State University Geometry and Topology Seminar, February & September 2015
- North Carolina State University Differential Equations Seminar, April 2014
- Michigan State University Geometric Analysis Seminar, November 2013
- L2 Geometry/Topology Seminar (Lafayette College and Lehigh University), March 2013
- Bicollege Mathematics Colloquium (Bryn Mawr College and Haverford College), February 2013
- Stony Brook University Geometry/Topology Seminar, March 2012
- University of Pennsylvania Geometry/Topology Seminar, September 2011, October 2020
- Temple University Geometry/Topology Seminar, September 2011
- Michigan State University Geometric Analysis Seminar, March 2009 & April 2010
- conference talks
- “Simplicial Complexes and Configuration Spaces,” January 2019
Joint Mathematics Meetings, Baltimore - “A Maximum Principle for Circle-Valued Temperatures”, November 2018
AMS Southeastern Sectional Meeting, University of Arkansas - “A ‘chromatic’ polynomial for simplicial complexes”, March 2017
AMS Southeastern Sectional, College of Charleston - “Homology of Generalized Generalized Configuration Spaces”, July 2016
TOPOSYM 2016: Twelfth Symposium on General Topology, Czech Technical University, Prague - “A Maximum Principle for Circle-Valued Temperature Functions”, March 2016
AMS Eastern Sectional, Stony Brook University - “Lagrangian mean curvature flow, the Maslov class, and special Lagrangians”, January 2016
Joint Mathematics Meetings, Seattle - “Singularities of Lagrangian Mean Curvature Flow Are Mild or Conical”, November 2015
AMS Eastern Sectional, Rutgers University - “Visual Thinking in Mathematics” with Radmila Sazdanovic, June 2015
SPM-EMS-AMS Joint Meeting, Porto - “Lagrangian Submanifolds under Mean Curvature Flow” March 2014
48th Spring Topology and Dynamics Conference, University of Richmond - “Smooth Singularity Models for Lagrangian Mean Curvature Flow”, September 2012
AMS Eastern Sectional, Rochester Institute of Technology - “Smooth Singularity Models for the Lagrangian Mean Curvature Flow”, April 2011
AMS Eastern Sectional, College of the Holy Cross - “Smooth Singularity Models for the Lagrangian Mean Curvature Flow”, November 2010
AMS Central Sectional, University of Notre Dame
- “Simplicial Complexes and Configuration Spaces,” January 2019
- talks on teaching
- “Standards, Techniques, and Specifications, Oh My!”, February 2022
workshop-colloquium on alternative grading schemes, University of Detroit Mercy
- “Content-Based Specifications Grading in a Proofs Course,” January 2019
Joint Mathematics Meetings, Baltimore - “The Erlanger (Distance) Programm” October 2018
Kansas City Mathematics Technology EXPO, University of Missouri–Kansas City - “Blogs, Wikis, and Tweets (Oh my!)” October 2015
Kansas City Mathematics Technology EXPO, University of Missouri–Kansas City - “The Art of Teaching Mathematics” with Radmila Sazdanovic, August 2015
MAA MathFest, Washington, D. C. - “Definitions as Proof Blueprints” August 2015
MAA MathFest, Washington, D. C. - “Teaching the Art of Mathematics” with Radmila Sazdanovic, May 2015
D’Art Symposium: Perspectives on Art Education, University of Applied Arts, Vienna - “Blogging Introductory Real Analysis” April 2013
MAA EPaDel Sectional, Dickinson College
- “Standards, Techniques, and Specifications, Oh My!”, February 2022
Grants and Awards
- Teaching Awards
- Certificate of Reflective Teaching, 2015
NCSU Office of Faculty Development - Thank-A-Teacher Letters, 2013, 2014, 2015, 2018
NCSU Office of Faculty Development - Good Teaching Award, University of Pennsylvania, 2012
- Certificate of Reflective Teaching, 2015
- Grants
- Hayek Fund for Scholars, 2019
- Multimedia Accessibility Grant, NCSU Office of Information Technology 2018
to provide captioning for MA 132 screencasts
- Mathematics and Pedagogy: Training for Implementation of Common Core Standards, 2015-2017
Co-Project Director (with Karen Hollebrands and Sonia Dupree)
$445,000, US Department of Education - Alt-Textbook Project, NCSU Libraries 2014-2015
- Writing for Conceptual Understanding in Calculus, NCSU Office of Faculty Development, 2014-2015
- Other Awards
- International Leadership Award, MSU International Students Association, 2011
In recognition of “outstanding achievement in cross-cultural relations”
- International Leadership Award, MSU International Students Association, 2011
Professional Development as a Teacher
- Academy of Inquiry-Based Learning Workshop, June 2019
intensive training for implementing inquiry-based pedagogies - TH!NK Faculty, 2017-2018
NCSU Quality Enhancement Program - Campus Writing and Speaking Faculty Seminar, NCSU Spring 2016
- Scholarship of Teaching and Learning Summer Institute, NCSU May 2014
- Undergraduate Faculty Program, June – July 2013
IAS/Park City Math Institute
Service and Outreach
- Organizer, Talk Math With Your Friends, 2021 —
- Reviewer for Mathematical Reviews, 2020 —
- Reviewer for zbMATH, 2020 —
- Program Committee, The Bridges Conference, 2016 — 2020v
- Judge, MAA Undergraduate Poster Session, Joint Mathematics Meetings, 2019
- Junior Editor, Snapshots of modern mathematics from Oberwolfach, 2015 — 2018
- Co-organizer, MoSAIC Festival, March 2015
sponsors: Bridges Organization and MSRI - Judge, ΣΞ Student Research Showcase, 2013
Mentoring
- Pre-Freshman Program, University of Pennsylvania, 2020 —
- NCSU GLBT Advocate
- Undergraduate research
- Simplicial Chromatic Polynomial, 2017-2018
Philipp Buriak & Joseph Mueller - Partially-Prescribed Curve Shortening Flow, 2016-2017
Davis Atkinson & Jonathan Dunay
presentations at: NCSU Student Research Symposium 2016, UNCG Regional Mathematics and Statistics Conference - Geometric Flows of Plane Curves, Summer 2014
Jessie de la Cruz Santos, Ryan Gallagher, Sarah Hadaidi
presentations at: NCSU Student Research Symposium 2014, JMM Session on Convex and Discrete Geometry 2015, JMM Student Poster Session 2015
- Simplicial Chromatic Polynomial, 2017-2018
- Graduate students
- Dustin Leininger, PhD 2020, NCSU
- Graduate teaching mentoring
- Daniel Scofield, Certificate of Achievement in Teaching, NCSU, 2017