# 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

J. Honeycutt, V. Vellis, S. Zimmerman. "Bi-Lipschitz arcs in metric spaces with controlled geometry." Rev. Mat. Iberoam. To appear. (2024).

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

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.

S. Zimmerman. On the equivalence of derivatives for maps between Carnot groups.

## 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

The Ohio State University Outreach and Engagement Award

2024 for the development of the STEMcoding High School Data Science Curriculum

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