Curriculum Vitae
Education
PhD, Mathematics 2017
University of Pittsburgh, Pittsburgh, PA
Advisor: Piotr Hajlasz, Ph.D
Dissertation: Analysis and Geometry in Metric Spaces: Sobolev Mappings, the Heisenberg Group, and the Whitney Extension Theorem
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
Assistant Professor
2020 – Present
Department of Mathematics, The Ohio State University at Marion, Marion, 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
Assistant 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 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
Publications
Peer Reviewed - Mathematics
Badger, Matthew; Li, Sean; Zimmerman, Scott. "Identifying 1-rectifiable measures in Carnot groups." Anal. Geom. Metr. Spaces 11 (2023), no.1, Paper No. 20230102, 40 pp.
Speight, Gareth; Zimmerman, Scott. "A $C^{m,ω}$ Whitney extension theorem for horizontal curves in the Heisenberg group." J. Geom. Anal. 33 (2023), no.6, Paper No. 182, 24 pp.
Zimmerman, Scott. "Whitney's extension theorem and the finiteness principle for curves in the Heisenberg group." Rev. Mat. Iberoam. 39 (2023), no.2, 539–562.
Zimmerman, Scott. "Singular integrals on $C^{1,α}_{w∗}$ regular curves in Banach duals." Ann. Funct. Anal. 13 (2022), no.2, Paper No. 32, 24 pp.
Chousionis, Vasileios; Li, Sean; Zimmerman, Scott. "Singular integrals on $C^{1,α}$ regular curves in Carnot groups." J. Anal. Math. 146 (2022), no.1, 299–326.
Chousionis, Vasileios; Li, Sean; Vellis, Vyron; Zimmerman, Scott. "Bi-Lipschitz embeddings of Heisenberg submanifolds into Euclidean spaces." Ann. Acad. Sci. Fenn. Math. 45 (2020), no.2, 931–955.
Hajłasz, Piotr; Zimmerman, Scott. "An implicit function theorem for Lipschitz mappings into metric space." Indiana Univ. Math. J. 69 (2020), no.1, 205–228.
Pinamonti, Andrea; Speight, Gareth; Zimmerman, Scott. "A $C^m$ Whitney extension theorem for horizontal curves in the Heisenberg group." Trans. Amer. Math. Soc. 371 (2019), no.12, 8971–8992.
Zimmerman, Scott. "Sobolev extensions of Lipschitz mappings into metric spaces." Int. Math. Res. Not. IMRN (2019), no. 8, 2241–2265.
Chousionis, Vasilis; Li, Sean; Zimmerman, Scott. "The traveling salesman theorem in Carnot groups." Calc. Var. Partial Differential Equations 58 (2019), no.1, Paper No. 14, 35 pp.
Hajłasz, Piotr; Malekzadeh, Soheil; Zimmerman, Scott. "Weak BLD mappings and Hausdorff measure." Nonlinear Anal. 177 (2018), 524–531.
Zimmerman, Scott. "The Whitney extension theorem for $C^1$, horizontal curves in the Heisenberg group." J. Geom. Anal. 28 (2018), no.1, 61–83.
Hajłasz, Piotr, and Zimmerman, Scott. "The Heisenberg groups." In Function Spaces - Embeddings and Extrapolation X, Lecture notes Paseky spring schools in analysis (2017), J. Luke˘s and L. Pick, Eds., MatfyzPress, 93–155.
Hajłasz, Piotr; Zimmerman, Scott. "The Dubovitskiĭ-Sard theorem in Sobolev spaces." Indiana Univ. Math. J. 66 (2017), no.2, 705–723.
Hajłasz, Piotr; Zimmerman, Scott. "Geodesics in the Heisenberg group." Anal. Geom. Metr. Spaces 3 (2015), no.1, 325–337.
Peer Reviewed - 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
J. Honeycutt, V. Vellis, S. Zimmerman. Bi-Lipschitz arcs in metric spaces with controlled geometry.
A. Pinamonti, G. Speight, S. Zimmerman. Higher order Whitney extension and Lusin approximation for Horizontal curves in the Heisenberg group.
In Preparation
P. Hajłasz, S. Zimmerman. Sobolev extensions of maps into metric spaces
Presentations
Mathematical Meetings
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 AMS 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 2022
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 2021
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 2019
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 2019
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
Aug 2010 Poster at MathFest, Pittsburgh, PA
The Decimal Expansion of 1/2007
2007 Presentation at Mathematics and Statistics Conference, Oxford, OH
and Pi Mu Epsilon Regional Conference, Youngstown, OH
and Spring Ohio Section Meeting of the MAA, Portsmouth, OH
University Seminars
Bi-Lipschitz curves in metric spaces
Geometry MMA: Metrics, Measures, and Algorithms Seminar at George Mason University
March 2024 Fairfax, VA
Whitney’s Extension Theorem for curves in the Heisenberg group
Analysis and Operator Theory Seminar at OSU
Jan 2023 Columbus, OH
The Heisenberg Group
Colloquium at Augustana University
Nov 2021 Sioux Falls, SD
Whitney’s Extension Theorem for curves in the Heisenberg group
Analysis and Operator Theory Seminar at OSU
Oct 2021 Columbus, OH
Analysis and geometry in Carnot groups
Invitations to Mathematics at OSU
Sep 2020 Columbus, OH
Analysis on curves in Carnot groups
Invited talk at The Ohio State University - Job talk
Feb 2020 Columbus, OH
The Heisenberg group
Invited talk at Rose-Hulman Institute of Technology
Jan 2020 Terre Haute, IN
Analysis on curves in Carnot groups
Invited talk at DePaul University
Jan 2020 Chicago, IL
Whitney Extension Theorems in the Heisenberg group
Colloquium talk at Ball State University
Oct 2019 Muncie, IN
The Whitney Extension Theorem
Data Blitz Competition at University of Connecticut
Sep 2019 Storrs, CT
The Traveling Salesman Theorem in Carnot groups
Invited talk at the University of Cincinnati - Analysis and PDE seminar
Oct 2018 Cincinnati, OH
The Traveling Salesman Theorem in Carnot groups
Analysis and Probability Seminar at University of Connecticut
Sep 2018 Storrs, CT
Solving the Game of Nim
Math Club Seminar at University of Connecticut
Feb 2018 Storrs, CT
Extension problems in the Heisenberg group
Invited talk at WPI - Analysis/PDE seminar
Dec 2017 Worcester, MA
An introduction to analysis and geometry in the Heisenberg groups
Invited talk at Wesleyan University - Dynamics and Analysis seminar
Nov 2017 Middletown, CT
An introduction to the Heisenberg group
SIGMA Seminar at University of Connecticut
Nov 2017 Storrs, CT
Sobolev extensions of Lipschitz mappings into metric spaces
Analysis Learning Seminar at University of Connecticut
Sep 2017 Storrs, CT
Whitney’s Extension Theorem for curves in the Heisenberg Group
Analysis Learning Seminar at University of Connecticut
Sep 2017 Storrs, CT
Geodesics in the Heisenberg Group H^n
Analysis Learning Seminar at University of Connecticut
Aug 2017 Storrs, CT
Surface immersions in the Heisenberg group
Geometric Analysis Seminar at University of Pittsburgh
May 2016 Pittsburgh, PA
Sobolev extensions of Lipschitz mappings into metric spaces
Invited talk at the University of Cincinnati - Analysis seminar
April 2016 Cincinnati, OH
Lipschitz extensions in metric spaces
Geometric Analysis Seminar at University of Pittsburgh
April 2016 Pittsburgh, PA
An introduction to the Heisenberg Group
Undergraduate Mathematics Seminar at University of Pittsburgh
Jan 2016 Pittsburgh, PA
Sard in Sobolev space and curves in the Heisenberg group
Graduate Student Seminar at University of Pittsburgh
Nov 2015 Pittsburgh, PA
Geodesics in the Heisenberg Group
Geometric Analysis Seminar at University of Pittsburgh
Dec 2014 Pittsburgh, PA
Properties of c_0, l^1, and l^∞
Graduate Functional Analysis Seminar at University of Pittsburgh
Feb 2014 Pittsburgh, PA
Lipschitz extensions of mappings into Lip.-conn. metric spaces
Geometric Analysis Seminar at University of Pittsburgh
Nov 2013 Pittsburgh, PA
The unrectifiability of H^n
Geometric Analysis Seminar at University of Pittsburgh
Oct 2013 Pittsburgh, PA
Whitney Extension Theorem
Geometric Analysis Seminar at University of Pittsburgh
Jan 2013 Pittsburgh, PA
The Sard Theorem
Geometric Analysis Seminar at University of Pittsburgh
Oct 2012 Pittsburgh, PA
Service
Community
Organizer and volunteer, OSU/MTC Marion High School Math Competition
2021 - present The Ohio State University at Marion, Marion, OH
Organizer and volunteer, OSU/MTC Marion Middle School Math Competition
2022 - present The Ohio State University at Marion, Marion, OH
Organizer and volunteer, Beyond the Classroom Math Summer Camp
2022 - present The Ohio State University, Columbus, OH
Program specialist, STEM Summer Camp for High School Students
2022 - present The Ohio State University at Marion, Marion, OH
Program specialist, Summer Engineering Camp for Middle School Students
2022 - present The Ohio State University at Marion, Marion, OH
co-PI, STEMcoding High School Data Science Initiative
2022 - present Creating a high school data science curriculum
Related activities:
Presenter at Columbus City Schools Professional Development Day
Oct 2023 Columbus, OH
Presenter at Tri State STEM+ Conference
Nov 2023 Northern Kentucky University, Highland Hts., KY
Guest lecturer for data science high school course
Jan 2023 Metro HS, Columbus, OH
Volunteer, MATHCOUNTS Eastern Chapter middle school math competition
2019 University of Connecticut, Storrs, CT
Volunteer, Math Kangaroo elementary school math competition
2017 University of Connecticut, Storrs, CT
Department and Campus
Social committee chair, Department of Mathematics, The Ohio State University
2022 - present
Prairie Advisory committee member, The Ohio State University at Marion
2023 - 2024
Professional Development committee member, The Ohio State University at Marion
2022 - 2024
Social Affairs committee member, The Ohio State University at Marion
2022 - 2024
Search committee member for the following:
Executive Administrative Assistant, OSU Marion, Spring 2024
Executive Administrative Assistant, OSU Marion, Autumn 2023
Senior lecturer of mathematics, OSU Marion, Summer 2023
Professional
Team member for equity in pre-calculus math, Summer Institute on Equity in the Academic Experience
2023 The Ohio State University, Columbus, OH
Organizer, special session on Analysis and Differential Equations at Undergraduate Institutions
2021 - 2022 Joint Mathematics Meetings, Seattle, WA
Organizer, Analysis and Probability Seminar
2019 - 2020 University of Connecticut, Storrs, CT
Organizer, special session at AMS Spring Sectional Meeting
2019 University of Connecticut, Hartford, CT
MathSciNet Reviewer
2019 – present
zbMATH Reviewer
2020 – present
Journal Referee
2018 – present
International Mathematics Research Notices
Revista Matemática Iberoamericana
Osaka Journal of Mathematics
Analysis and Mathematical Physics
ESAIM: Control, Optimisation and Calculus of Variations
Calculus of Variations and Partial Differential Equations
Journal of the London Mathematical Society
AIMS Press - Math
President, Mathematics Graduate Student Organization
2014 – 2017 Department of Mathematics, University of Pittsburgh
Representative, Graduate and Professional Student Government
2015 – 2016 University of Pittsburgh
Representative, A&S Graduate Student Organization
2014 – 2016 Dietrich School of Arts and Sciences, University of Pittsburgh
Representative, University Planning & Budgeting Committee
2014 – 2015 University of Pittsburgh
Officer, Mathematics Graduate Student Organization
2011 – 2014 Department of Mathematics, University of Pittsburgh
Awards
American Institute of Physics Meggers Award ($12,500)
2022 for the development of the STEMcoding High School Data Science Curriculum
SET Teaching Excellence, 2018 – 2020
Thomas C. Hales Distinguished Research Award, April 2018
Andrew Mellon Predoctoral Fellowship, Sep 2015 – May 2016
Mathematics Department Teaching Assistant Excellence, April 2015
Pittsburgh Math Department Second-Year Fellowship, Sep 2012 – May 2013
Eugene R. Mittinger Mathematics Award, May 2008