# 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 Experience

**Assistant Professor**, Department of Mathematics

The Ohio State University at Marion, Marion, OH

MATH 1075 Precollege Math II

MATH 1151 Calculus I

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

## Publications

### Peer Reviewed

S. Zimmerman. Whitney’s Extension Theorem and the finiteness principle for curves in the Heisenberg group. Rev. Mat. Iberoam. To appear. arXiv:2107.04554

S. Zimmerman. Singular integrals on C^{1,α}_{w∗} regular curves in Banach duals. Ann. Funct. Anal. To appear. arXiv:2012.12984

V. Chousionis, S. Li, S. Zimmerman. Singular integrals on C^{1,α} regular curves in Carnot groups. J. Anal. Math. To appear. arXiv:1912.13279

V. Chousionis, S. Li, V. Vellis, S. Zimmerman. Bi-Lipschitz embeddings of Heisenberg submanifolds into Euclidean spaces. Ann. Acad. Sci. Fenn. Math. 45 (2020), 931–955. arXiv:1812.07612

P. Hajlasz, S. Zimmerman. An implicit function theorem for Lipschitz mappings into metric spaces. Indiana Univ. Math. J. 69 No. 1 (2020), 205-228. arXiv:1809.06829

A. Pinamonti, G. Speight, S. Zimmerman. A C^m Whitney Extension Theorem for Horizontal Curves in the Heisenberg Group. Trans. Amer. Math. Soc. 371 (2019), 8971–8992. arXiv:1807.07936

V. Chousionis, S. Li, S. Zimmerman. The Traveling Salesman Theorem in Carnot Groups. Calc. Var. Partial Differential Equations. 58:14 (2019). arXiv:1804.05646

P. Hajlasz, S. Malekzadeh, S. Zimmerman. Weak BLD mappings and Hausdorff measure. Nonlinear Anal. 177 (2018), 524–531. arXiv:1703.06444

S. Zimmerman. Sobolev extensions of Lipschitz mappings into metric spaces. Int. Math. Res. Notes IMRN 2019 (2019), 2241–2265. arXiv:1608.00857

S. Zimmerman. The Whitney Extension Theorem for C^1, horizontal curves in the Heisenberg group. J. Geo. Anal. 28 (2018), 61–83. arXiv:1507.02240

P. Hajlasz, S. Zimmerman. 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.

P. Hajlasz, S. Zimmerman. The Dubovitski˘ı-Sard theorem in Sobolev spaces. Indiana Univ. Math. J. 66, 2 (2017), 705–723. arXiv:1506.00025

P. Hajlasz, S. Zimmerman. Geodesics in the Heisenberg group. Anal. Geom. Metr. Spaces 3 (2015), 325–337. arXiv:1412.1797

### Submitted

M. Badger, S. Li, S. Zimmerman. Identification of 1-rectifiable measures in Carnot groups. arXiv:2109.06753

G. Speight, S. Zimmerman. A C^{m,ω} Whitney Extension Theorem for Horizontal curves in the Heisenberg group. arXiv:2204.03544

C. Orban, S. Zimmerman, J. Kulp, J. Boughton, Z. Perrico, B. Rapp, R. Teeling-Smith. Methods to Simplify Object Tracking in Video Data. arXiv:2206.07909.

### In Preparation

A. Pinamonti, G. Speight, S. Zimmerman. Applications of the C^{m,ω} Whitney Extension Theorem for Horizontal curves in the Heisenberg group.

## Professional Activities

co-PI, High School Data Science Initiative

2022 - present Creating a high school data science curriculum

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

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

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

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

## Presentations

### Mathematical Meetings

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 **202**2* 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

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 **202**1* 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 201**9** ** *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 **201**8** ** *Storrs, CT

Solving the Game of Nim

Math Club Seminar at University of Connecticut

*Feb **201**8** ** *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 **201**7** ** *Storrs, CT

Surface immersions in the Heisenberg group

Geometric Analysis Seminar at University of Pittsburgh

*May **201**6** ** *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 **201**6 ** *Pittsburgh, PA

An introduction to the Heisenberg Group

Undergraduate Mathematics Seminar at University of Pittsburgh

*Jan **201**6** ** *Pittsburgh, PA

Sard in Sobolev space and curves in the Heisenberg group

Graduate Student Seminar at University of Pittsburgh

*Nov **201**5** ** *Pittsburgh, PA

Geodesics in the Heisenberg Group

Geometric Analysis Seminar at University of Pittsburgh

*Dec **201**4** ** *Pittsburgh, PA

Properties of c_0, l^1, and l^∞

Graduate Functional Analysis Seminar at University of Pittsburgh

*Feb **201**4** ** *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 201**3** ** *Pittsburgh, PA

Whitney Extension Theorem

Geometric Analysis Seminar at University of Pittsburgh

*Jan **201**3** ** *Pittsburgh, PA

The Sard Theorem

Geometric Analysis Seminar at University of Pittsburgh

*Oct 2012 *Pittsburgh, PA