# Curriculum Vitae

This CV is an outline of my professional activity. You can also download a pdf version of my CV.

Curriculum Vitae Niles Johnson

Newark Campus

Department of Mathematics

The Ohio State University

niles@math.osu.edu

http://nilesjohnson.net

__________________________________________________________________________

## Employment

Associate Professor

2018
–
present

Department of Mathematics, The Ohio State University, Newark

Assistant Professor

August
2012
–
2018

Department of Mathematics, The Ohio State University, Newark

Postdoctoral Associate in Mathematical Ecology

May
2012
–
August
2012

Odum School of Ecology, University of Georgia

VIGRE Postdoctoral Associate

August
2009
–
May
2012

Department of Mathematics, University of Georgia

## Education

University of Chicago, IL

2003
–
2009

Ph.D. in Mathematics, August 2009

M.S. in Mathematics, May 2005

M.S. in Mathematics, May 2005

University of Rochester, NY

1999
–
2003

B.A., M.A., majoring in Mathematics, May 2003

## Honors and Awards

Scholarly Accomplishment Award

March
2018

Newark Campus, Tenure-track category.

Teaching Excellence Award

March
2016

Newark Campus, Tenure-track category.

Service Award

March
2016

Newark Campus, Tenure-track category.

## Research

A 2-categorical group-completion

In
preparation.

Joint with Nick Gurski and Angélica Osorno.

The 2-dimensional stable homotopy hypothesis

Joint with Nick Gurski and Angélica Osorno. Journal of Pure and Applied Algebra.

223 no. 10 (2019), pp 4348–4383.

223 no. 10 (2019), pp 4348–4383.

Stable Postnikov data of Picard 2-categories

Joint with Nick Gurski, Angélica Osorno, and Marc Stephan. Algebraic & Geometric
Topology.

17-5 (2017), pp 2763–2806.

17-5 (2017), pp 2763–2806.

Extending homotopy theories across adjunctions

Joint with Nick Gurski and Angélica Osorno. Homology, Homotopy and Applications.

19 (2017), no. 2, pp 89–110.

19 (2017), no. 2, pp 89–110.

K-theory for 2-categories

Lifting homotopy T-algebra maps to strict maps

Modeling stable one-types

Second cohomology for finite groups of Lie type

First cohomology for finite groups of Lie type: simple modules
with small dominant weights

Joint with UGA VIGRE Algebra Group. Transactions of the American Mathematical
Society.

365 No. 2 (2013), pp 1025–1050.

365 No. 2 (2013), pp 1025–1050.

Azumaya Objects in Triangulated Bicategories

For Complex Orientations Preserving Power Operations,
p-typicality is Atypical

## Computer Software

Visualization of A(2)

February
2013

Joint with Robert Bruner. Interactive javascript application for visualizing multiplicative structure of
Steenrod subalgebra.

Available at http://nilesjohnson.net/Aof2/.

Available at http://nilesjohnson.net/Aof2/.

Multivariate Power series Arithmetic

August
2011

Sage software peer-reviewed and included since version 4.7.1

Composition factors of Weyl modules

July
2011

Sage software for computing composition factors of certain Weyl modules.

Available at http://nilesjohnson.net/rep-thy.html.

Available at http://nilesjohnson.net/rep-thy.html.

## Invited Talks 2012–present

A 2-categorical group-completion

Topology Seminar, University of Kentucky

February
2019

The 2-dimensional stable homotopy hypothesis

AMS Spring Sectional Meeting, Vanderbilt University

April
2018

A 2-categorical group completion

Special Session on Homotopy Theory, AMS Spring Central Sectional
Meeting, Indiana University

April
2017

Categorical models in homotopy theory

Topology Seminar, University of Kentucky

March
2017

Algebraic models of stable Postnikov invariants

Workshop on “Operations in Highly Structured Homology Theories”

Banff International Research Station

Banff International Research Station

May
2016

K-theory for Two-Categories

Topology Seminar, Purdue University

February
2015

Modeling Stable Two-Types

Midwest Topology Seminar, IUPUI

April
2014

Lifting homotopy T-algebra maps

Topology Seminar, University of Minnesota

March
2013

Visualizing Seven-Manifolds

Colloquium, University of Rochester

November
2012

Ecological Niche Topology

Colloquium, DePaul University

October
2012

Topology Seminar, University of Kentucky

October
2012

Picard groupoids in algebra and topology

Algebra Seminar, University of Georgia

September
2012

## Animations

Hopf fibration – fibers and base

August
2011

Visualizing Seven-Manifolds

January
2012

http://nilesjohnson.net/seven-manifolds

Gives a visualization of exotic seven-spheres and related manifolds.

Presented at the Second Abel Conference in celebration of John Milnor.

Gives a visualization of exotic seven-spheres and related manifolds.

Presented at the Second Abel Conference in celebration of John Milnor.

## Teaching Experience

Calculus and its History for Teachers

2016,
2018

Ohio State University, Newark

Algebra and Coordinate Geometry for Teachers

2015,
2017,
2019

Ohio State University, Newark

Measurement and Geometry for Teachers

2014
–
2019

Ohio State University, Newark

Number and Operations for Teachers

2014
–
2018

Ohio State University, Newark

Math for Elementary Teachers I and II

2012
–
2014

Ohio State University, Newark

Calculus

2013

Ohio State University, Newark

Homological Algebra

Spring
2012

University of Georgia (graduate course)

Multivariable Calculus

Fall
2011

University of Georgia

Geometry for Elementary School Teachers

Spring
2011

University of Georgia

Point Set Topology

Fall
2010

University of Georgia

Intermediate Calculus

2007
–
2009

University of Chicago and University of Georgia

Graduate Student Assistant Abroad

Spring
2009

Spring Quarter in Paris Mathematics Program, France

Assisted students in upper-level undergraduate coursework during nine-week intensive mathematics program.

Assisted students in upper-level undergraduate coursework during nine-week intensive mathematics program.

## Service 2012–Present

Site Administrator, MathMeetings.net

2010
–
present

Academic Affairs Committee

2017
–
2019

Oho State University, Newark campus

Presenter, Teaching and Learning Seminar

February
28,
2019

“Constructing mathematical knowledge for elementary educators”

University of Kentucky

University of Kentucky

Presenter, Blowing Off STEAM

January
9,
2018

“Confessions of a Mathematician”

Thirty One West

Thirty One West

Presenter, Franklinton Friday

December
8,
2017

“Snowflake Symmetry”

OSU STEAM Factory

OSU STEAM Factory

Presenter, Ms. Cline’s 2nd grade class

December
15,
2017

“Snowflake Symmetry”

Garfield Elementary School

Garfield Elementary School

Secretary, Faculty Assembly

2015
–
2016

Ohio State University, Newark campus

Panelist, AWM Panel Discussion

August
2016

“Prioritizing Your Career and Professional Goals”

Mathfest, Columbus OH

Mathfest, Columbus OH

Organizer, Spring 2016 Midwest Topology Seminar

May
14,
2016

Organizer, 2016 Pi Measurement Challenge

March
13,
2016

Presenter, Chamber of Commerce After Hours

February
18,
2016

Ohio State University, Newark campus

Library Committee

2013
–
2015

Ohio State University, Newark campus

Saturday Market Presentation

April
11,
2015

Faculty Representative, Buckeye Visit Day

March
27,
2015

Ohio State University, Newark campus

Mathematics for Teachers Committee

2013
–
2014

Ohio State University, all campuses

Organizer, K-8 Geometry for Teachers Workshop

August
2014

Poster Judge, Student Research Forum

March
2014

Ohio State University, Newark campus

Organizer, AMS Special Session on Homotopy Theory

January
2014

Judge, FIRST Lego League Regional Tournament

2012
–
2015

Regional tournament project judge (4 annual tournaments)

Undergraduate Math Club Talk

October
2012

Visualizing Spheres

University of Kentucky

University of Kentucky

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