Research areas: Geometric function theory, geometric measure theory, and analysis in metric spaces (often in Carnot groups such as the Heisenberg group)
Peer Reviewed Publications
Mathematics
[arXiv] A Lipschitz curve in a Carnot group that is purely unrectifiable by smooth horizontal curves (with G. Speight)
Submitted (2026)
[arXiv] [journal] Directional Pliability, Whitney Extension, and Lusin Approximation for Curves in Carnot Groups (with G. Speight)
Ann. Fenn. Math. (2025)
[arXiv] [journal] On the equivalence of derivatives for maps between Carnot groups
Commun. Pure Appl. Anal. (2025)
[arXiv] [journal] Higher order Whitney extension and Lusin approximation for Horizontal curves in the Heisenberg group (with A. Pinamonti and G. Speight)
A 3D interactive visualization comparing the motion of a person walking to one riding a unicycle. The dynamics of this system can be modeled by the Heisenberg group.
A die rolling simulator that allows for multiple types of dice and displays sums of dice. Created for teaching probability and for playing tabletop RPGs.
I am an Associate Professor in the Department of Mathematics at The Ohio State University serving on the Marion campus.
Born and raised near Cleveland, OH, I completed my BS and MS in mathematics at John Carroll University. I received my PhD in 2017 from the University of Pittsburgh under the guidance of Dr. Piotr Hajlasz. After, I spent three years at the University of Connecticut as an Assistant Research Professor working with Drs. Vasilis Chousionis and Sean Li.
I have two wonderful daughters who love to learn. In my free time, I enjoy playing saxophone and video games.
MS, Mathematics (2010)
John Carroll University, University Heights, OH Advisor: Patrick B. Chen, Ph.D Thesis: A Characterization of Banach Spaces via the Complemented Subspace Problem
BS, Mathematics (2008)
John Carroll University, University Heights, OH
Employment
Associate Professor (2025 – Present) Department of Mathematics, The Ohio State University at Marion, Marion, OH Department of Mathematics, The Ohio State University, Columbus, OH
Assistant Professor (2020 – 2025) Department of Mathematics, The Ohio State University at Marion, Marion, OH Department of Mathematics, The Ohio State University, Columbus, OH
Assistant Research Professor (2017 – 2020) Department of Mathematics, University of Connecticut, Storrs, CT
Visiting Instructor (2010 – 2011) Department of Mathematics and Computer Science, John Carroll University, University Heights, OH
Teaching
Teaching Endorsements
Evidence-Based Course Design for Higher Education (earned Feb 2026) – Michael V. Drake Institute for Teaching and Learning
Teaching and Learning to Build AI Fluency (earned Feb 2026) – Michael V. Drake Institute for Teaching and Learning
Courses Taught
Assistant/Associate Professor, Department of Mathematics, The Ohio State University at Marion, Marion, OH
MATH 1075 Precollege Math II
MATH 1149 Trigonometry
MATH 1125 Mathematics for Elementary Teachers I
MATH 1126 Mathematics for Elementary Teachers II
MATH 1135 Number and Operations for Teachers
MATH 1136 Measurement and Geometry for Teachers
MATH 1151 Calculus I
MATH 2138 Calculus and its History for Teachers
MATH 3345 Foundations of Higher Mathematics
Assistant Research Professor, Department of Mathematics, University of Connecticut, Storrs, CT
MATH 2360 Geometry
MATH 2410 Elementary Differential Equations
MATH 2420 Honors Differential Equations
MATH 3150 Analysis I
Dean’s Teaching Excellence Award - 2018, 2019, 2020
TA Mentor, Department of Mathematics, University of Pittsburgh, Pittsburgh, PA
Visited recitations and graded TA performance
Teaching Assistant, Department of Mathematics, University of Pittsburgh, Pittsburgh, PA
MATH 0120 Business Calculus Lecture and recitation
MATH 0220 Calculus and Analytic Geometry I
MATH 0230 Calculus and Analytic Geometry II
MATH 0240 Calculus and Analytic Geometry III
MATH 0290 Differential Equations
Mathematics Department Teaching Assistant Excellence - 2015
Visiting Instructor, Department of Mathematics and Computer Science, John Carroll University, University Heights, OH
MATH 120 Elementary Statistics I
MATH 167 Mathematics of Change and Chance
Grader and Tutor, Department of Mathematics and Computer Science, John Carroll University, University Heights, OH
All undergraduate courses
Research
Peer Reviewed Publications - Mathematics
Speight, G.; Zimmerman, S., "Directional Pliability, Whitney Extension, and Lusin Approximation for Curves in Carnot Groups," Ann. Fenn. Math. (2025), to appear.
Zimmerman, S., "On the equivalence of derivatives for maps between Carnot groups," Commun. Pure Appl. Anal. 24 (2025), no. 10, 1962–1972.
Pinamonti, A.; Speight, G.; Zimmerman, S., "Higher order Whitney extension and Lusin approximation for horizontal curves in the Heisenberg group," J. Math. Pures Appl. 188 (2024), 320–344.
Badger, M.; Li, S.; Zimmerman, S., "Identifying 1-rectifiable measures in Carnot groups," Anal. Geom. Metr. Spaces 11 (2023), no. 1, Paper No. 20230102, 40 pp.
Speight, G.; Zimmerman, S., "A $C^{m,\omega}$ Whitney extension theorem for horizontal curves in the Heisenberg group," J. Geom. Anal. 33 (2023), no. 6, Paper No. 182, 24 pp.
Zimmerman, S., "Whitney's extension theorem and the finiteness principle for curves in the Heisenberg group," Rev. Mat. Iberoam. 39 (2023), no. 2, 539–562.
Zimmerman, S., "Singular integrals on $C^{1,\alpha}_{w^*}$ regular curves in Banach duals," Ann. Funct. Anal. 13 (2022), no. 2, Paper No. 32, 24 pp.
Chousionis, V.; Li, S.; Zimmerman, S., "Singular integrals on $C^{1,\alpha}$ regular curves in Carnot groups," J. Anal. Math. 146 (2022), no. 1, 299–326.
Chousionis, V.; Li, S.; Vellis, V.; Zimmerman, S., "Bi-Lipschitz embeddings of Heisenberg submanifolds into Euclidean spaces," Ann. Acad. Sci. Fenn. Math. 45 (2020), no. 2, 931–955.
Hajłasz, P.; Zimmerman, S., "An implicit function theorem for Lipschitz mappings into metric space," Indiana Univ. Math. J. 69 (2020), no. 1, 205–228.
Pinamonti, A.; Speight, G.; Zimmerman, S., "A $C^m$ Whitney extension theorem for horizontal curves in the Heisenberg group," Trans. Amer. Math. Soc. 371 (2019), no. 12, 8971–8992.
Zimmerman, S., "Sobolev extensions of Lipschitz mappings into metric spaces," Int. Math. Res. Not. IMRN (2019), no. 8, 2241–2265.
Chousionis, V.; Li, S.; Zimmerman, S., "The traveling salesman theorem in Carnot groups," Calc. Var. Partial Differential Equations 58 (2019), no. 1, Paper No. 14, 35 pp.
Zimmerman, S., "The Whitney extension theorem for $C^1$, horizontal curves in the Heisenberg group," J. Geom. Anal. 28 (2018), no. 1, 61–83.
Hajłasz, P.; Zimmerman, S., "The Heisenberg groups," in Function Spaces – Embeddings and Extrapolation X, Lecture Notes Paseky Spring Schools in Analysis (2017), J. Lukeš and L. Pick, Eds., MatfyzPress, 93–155.
Hajłasz, P.; Zimmerman, S., "The Dubovitskiĭ–Sard theorem in Sobolev spaces," Indiana Univ. Math. J. 66 (2017), no. 2, 705–723.
Hajłasz, P.; Zimmerman, S., "Geodesics in the Heisenberg group," Anal. Geom. Metr. Spaces 3 (2015), no. 1, 325–337.
Peer Reviewed Publications - Education
Orban, Chris M.; Zimmerman, Scott; Kulp, Jessica T.; Boughton, Jennifer; Perrico, Zachary; Rapp, Brianna; Teeling-Smith, Richelle. "Methods to Simplify Object Tracking in Video Data." Phys. Teach. 1 (2023); 61 (7): 576–579.
Submitted Publications
Speight, G.; Zimmerman, S., "A Lipschitz curve in a Carnot group that is purely unrectifiable by smooth horizontal curves," Submitted (2026).
Publications in Preparation
P. Hajłasz, S. Zimmerman. "Sobolev extensions of maps into metric spaces."
G. Speight, S. Zimmerman. "Total non-pliability of free Carnot groups."
Presentations
Mathematical Meetings
Bi-Lipschitz segments in metric spaces
Invited talk at Advances and Connections of Modern Geometric Function Theory Conference, Oct 25, 2025
University of Michigan, Ann Arbor, MI
Sobolev extensions of maps into metric spaces
Invited talk at Special Session on Quantitative Topology and Analysis, Oct 5, 2025
AMS sectional meeting, New Orleans, LA
Sobolev extensions of maps into metric spaces
Invited talk at Special Session on Harmonic Analysis, Theory of Function Spaces and Their Applications, Oct 20, 2024
AMS sectional meeting, Albany, NY
Uniform convergence of Pansu difference quotients for $C^1$, horizontal maps between Carnot groups
Invited talk at Special Session on Nonsmooth Analysis and Geometry, Oct 19, 2024
AMS sectional meeting, Albany, NY
Singular integrals on regular, smooth curves in Carnot groups and Banach duals
Short talk at Great Plains Operator Theory Symposium, May 2023
The Ohio State University, Columbus, OH
Differentiation of Lipschitz mappings into metric spaces
Invited talk at Special Session on Interactions between Analysis, PDE, and Probability in Non-smooth Spaces, Apr 2023
AMS sectional meeting, Cincinnati, OH
Differentiation of Lipschitz mappings into metric spaces
Invited talk at Special Session on Analysis and Differential Equations at Undergraduate Institutions, Jan 2023
Joint Mathematics Meetings, Boston, MA
Differentiation of Lipschitz mappings into metric spaces
Invited talk at Special Session on Nonsmooth Analysis and Geometry, Oct 2022
AMS sectional meeting, Amherst, MA
Whitney's Extension Theorem for curves in the Heisenberg group
Invited talk at the 51st John H. Barrett Memorial Lectures, June 2022
University of Tennessee, Knoxville, TN
Whitney's Extension Theorem for curves in the Heisenberg group
Invited talk at Ohio River Analysis Meeting, Apr 2022
University of Kentucky, Lexington, KY
Identifying 1-rectifiable measures in Carnot groups
Invited talk at Special Session on Geometry of Measures and Metric Spaces, Mar 2022
AMS sectional meeting, Virtual, IN
Whitney's Extension Theorem for curves in the Heisenberg group
Invited talk at Special Session on Analysis and Probability in Sub-Riemannian Geometry, Mar 2022
AMS sectional meeting, Virtual, IN
What is the Heisenberg group?
Invited talk at Special Session on Analysis and Differential Equations at Undergraduate Institutions, Oct 2021
AMS sectional meeting, Virtual, Omaha, NE
Whitney’s Extension Theorem for curves in the Heisenberg group
Invited talk at 14th Whitney Problems Workshop, Jul 2021
Virtual, Princeton, RI
Singular integrals on regular, smooth curves in Carnot groups and Banach duals
Invited talk at AMS Special Session on Nonsmooth Analysis and Geometry, Apr 2021
AMS sectional meeting, Virtual, Cincinnati, OH
Singular integrals on regular, smooth curves in Carnot groups and Banach duals
Invited talk at Ohio River Analysis Meeting, Mar 2021
Virtual, Lexington, KY
Singular integrals on regular, smooth curves in Carnot groups and Banach duals
Invited talk at Special Session on Metric techniques in Analysis, Mar 2021
AMS sectional meeting, Virtual, Providence, RI
Whitney extensions for curves in the Heisenberg group
Invited talk at AMS Special Session on Analysis and Differential Equations at Undergraduate Institutions, Jan 2021
Joint Mathematics Meetings, Virtual, Washington, DC
The Heisenberg group
Short talk at Mathematics Continued: A conference for undergraduate students, Oct 2020
Virtual, University of Connecticut, Storrs, CT
Whitney Extension Theorems in the Heisenberg group
Invited talk at Northeast Analysis Network, Sep 2019
University of Connecticut, Storrs, CT
Bi-Lipschitz embeddings of Heisenberg submanifolds into Euclidean space
Invited talk at Special Session on Analysis and Probability on Metric Spaces and Fractals, Sep 2019
AMS sectional meeting, Madison, WI
The Whitney Extension Theorem in the Heisenberg group
Invited talk at Dynamics, measures and dimensions, April 2019
Bedlewo, Poland
Bi-Lipschitz embeddings of Heisenberg submanifolds into Euclidean space
Invited talk at Ohio River Analysis Meeting, Mar 2019
University of Cincinnati, Cincinnati, OH
The Traveling Salesman Theorem in Carnot groups
Invited talk at Special Session on Modern Quasiconformal Analysis and Geometric Function Theory, Sep 2018
AMS sectional meeting, Newark, DE
Applications of a change of variables for Lipschitz mappings into metric spaces
Invited talk at Special Session on Analysis and Geometry in Non-smooth Spaces, April 2018
AMS sectional meeting, Boston, MA
Applications of a change of variables for Lipschitz mappings into metric spaces
Short talk at Subriemannian Geometry and Beyond, Feb 2018
University of Jyväskylä, Jyväskylä, Finland
Geometry and analysis in the Heisenberg group
Talk at Nonsmooth Analysis: a Workshop for Postdocs, Nov 2017
University of Connecticut, Storrs, CT
Sobolev extensions of Lipschitz mappings into metric spaces
Invited talk at Analysis on Metric Spaces, Mar 2017
University of Pittsburgh, Pittsburgh, PA
Sobolev extensions of Lipschitz mappings into metric spaces
Invited talk at ORAM 2017, Mar 2017
University of Cincinnati, Cincinnati, OH
Sobolev extensions of Lipschitz mappings into metric spaces
Short talk at Harmonic Analysis, Complex Analysis, Spectral Theory and all that, Aug 2016
Bedlewo, Poland
The Whitney Extension Theorem for C^1, horizontal curves in H^n
Invited talk at AMS Special Session on Analysis and Geometry in Nonsmooth Metric Measure Spaces, Jan 2016
Joint Mathematics Meetings, Seattle, WA
Whitney’s Extension Theorem for curves in the Heisenberg Group H^n
Short talk at Workshop on Analysis and Geometry in Metric Spaces, June 2015
ICMAT, Madrid, Spain
Geodesics in the Heisenberg Group H^n
Seminar at Research Term on Analysis and Geometry in Metric Spaces, May 2015
ICMAT, Madrid, Spain
Dubovitskiı-Sard Theorem for Sobolev Mappings
Poster at Advances in Nonlinear Analysis International Workshop, Mar 2014
University of Pittsburgh, Pittsburgh, PA
A Characterization of Banach Spaces via the Complemented Subspace Problem
Poster at MathFest, Aug 2010
Pittsburgh, PA
The Decimal Expansion of 1/2007
Presentations at: Miami University, Oxford, OH (2007); Pi Mu Epsilon Regional Conference, Youngstown, OH (2007); Spring Ohio Section Meeting of the MAA, Portsmouth, OH (2007)
University Seminars
What is the Heisenberg group?
Radical Pi Undergraduate Math Seminar, OSU, Apr 2, 2026, Columbus, OH
Bi-Lipschitz arcs in metric spaces
Analysis and Operator Theory Seminar, OSU, Nov 20, 2025, Columbus, OH
Sobolev extensions of maps into metric spaces
Analysis seminar, University of Tennessee, Mar 27, 2025, Knoxville, TN
Bi-Lipschitz arcs in metric spaces
Colloquium, University of Cincinnati, Oct 10, 2024, Cincinnati, OH
Bi-Lipschitz curves in metric spaces
Geometry MMA Seminar, George Mason University, March 2024, Fairfax, VA
Whitney’s Extension Theorem for curves in the Heisenberg group
Analysis and Operator Theory Seminar, OSU, Feb 2023, Columbus, OH
The Heisenberg Group
Colloquium, Augustana University, Nov 2021, Sioux Falls, SD
Whitney’s Extension Theorem for curves in the Heisenberg group
Analysis and Operator Theory Seminar, OSU, Oct 2021, Columbus, OH
Analysis and geometry in Carnot groups
Invitations to Mathematics, OSU, Sep 2020, Columbus, OH
Analysis on curves in Carnot groups
Job talk, OSU, Feb 2020, Columbus, OH
The Heisenberg group
Invited talk, Rose-Hulman Institute of Technology, Jan 2020, Terre Haute, IN
Analysis on curves in Carnot groups
Invited talk, DePaul University, Jan 2020, Chicago, IL
Whitney Extension Theorems in the Heisenberg group
Colloquium, Ball State University, Oct 2019, Muncie, IN
The Whitney Extension Theorem
Data Blitz Competition, University of Connecticut, Sep 2019, Storrs, CT
The Traveling Salesman Theorem in Carnot groups
Invited talk, University of Cincinnati, Oct 2018, Cincinnati, OH
The Traveling Salesman Theorem in Carnot groups
Analysis and Probability Seminar, UConn, Sep 2018, Storrs, CT
Solving the Game of Nim
Math Club Seminar, UConn, Feb 2018, Storrs, CT
Extension problems in the Heisenberg group
Invited talk, WPI, Dec 2017, Worcester, MA
An introduction to analysis and geometry in the Heisenberg groups
Invited talk, Wesleyan University, Nov 2017, Middletown, CT
An introduction to the Heisenberg group
SIGMA Seminar, UConn, Nov 2017, Storrs, CT
Sobolev extensions of Lipschitz mappings into metric spaces
Department of Mathematics, University of Pittsburgh
Professional
Simons semester in geometric analysis (2026)
Junior Leader, Warsaw, Poland
"48th Summer Symposium in Real Analysis," Real Analysis Exchange (2025 - 2026)
Scientific Committee, St. Louis, MO
"Modern Advances in Geometric Analysis," conference for Piotr Hajlasz's 60th (2025 - 2026)
Organizing Committee, Bedlewo, Poland
PhD Dissertation committee member for Jacob Honeycutt (2025)
University of Tennessee, Knoxville, TN
SLMath (MSRI) Special Session Organizer (2024 - 2025)
Joint Mathematics Meetings, Seattle, WA
PhD Dissertation committee member for Hyogo Shibahara (2023)
University of Cincinnati, Cincinnati, OH
Summer Institute on Equity in the Academic Experience (2023)
Team member, OSU, Columbus, OH
AMS Special Session Organizer (2022)
Joint Mathematics Meetings, Seattle, WA
Analysis and Probability Seminar Organizer (2019 - 2020)
UConn, Storrs, CT
AMS Special Session Organizer (2019)
AMS Spring Sectional Meeting, Hartford, CT
MathSciNet Reviewer (2019 – present)
zbMATH Reviewer (2020 – present)
Journal Referee (2018 – present): IMRN, Rev. Mat. Iberoam., Osaka J. Math., Anal. Math. Phys., ESAIM: COCV, Calc. Var. PDE, J. London Math. Soc., AIMS Press, J. Geom. Anal., Mathematics Magazine.
Awards
Marion Campus Teaching Award (2025)
Honors regular faculty members annually for excellence in teaching at the Marion campus.
Ohio State Energy Partners (OSEP) Academic Collaboration Award (2025)
$20,000 grant for "The STEMcoding Data Science High School Curriculum Initiative."
The Ohio State University Outreach and Engagement Award (2024)
Honors scholarship and community impact produced through the STEMcoding High School Data Science Curriculum.
American Institute of Physics Meggers Award (2022)
$12,500 grant for high school physics teaching improvements through the STEMcoding Data Science Curriculum.
SET Teaching Excellence (2018, 2019, 2020)
Recognition of consistently high scores on the Student Experience of Teaching evaluations.
Thomas C. Hales Distinguished Research Award (2018)
Annual prize for the best doctoral dissertation defended by a math graduate student at Pitt.
Andrew Mellon Predoctoral Fellowship (2015 - 2016)
Awarded to PhD students of exceptional ability and promise.
Mathematics Department Teaching Assistant Excellence (2015)
Awarded for excellence in mathematics teaching at University of Pittsburgh.
Professional Memberships
American Mathematical Society
Ohio Council of Teachers of Mathematics
The Association for Mathematical Research
Elements
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i = 0;
while (!deck.isInOrder()) {
print 'Iteration ' + i;
deck.shuffle();
i++;
}
print 'It took ' + i + ' iterations to sort the deck.';
