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



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


University of Chicago, IL
2003 2009

Ph.D. in Mathematics, August 2009
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.


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.
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.
Extending homotopy theories across adjunctions

Joint with Nick Gurski and Angélica Osorno. Homology, Homotopy and Applications.
19 (2017), no. 2, pp 89–110.
K-theory for 2-categories

Joint with Nick Gurski and Angélica Osorno. Advances in Mathematics.
322 (2017), pp 378–472.
Lifting homotopy T-algebra maps to strict maps

Joint with Justin Noel. Advances in Mathematics.
264 (2014), pp 593–645.
Modeling stable one-types

Joint with Angélica Osorno. Theory and Applications of Categories.
26 No. 20 (2012), pp 520–537.
Second cohomology for finite groups of Lie type

Joint with UGA VIGRE Algebra Group. Journal of Algebra.
360 (2012), pp 21–52.
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.
Azumaya Objects in Triangulated Bicategories

Journal of Homotopy and Related Structures.
9 No. 2 (2014), pp 465–493.
For Complex Orientations Preserving Power Operations, p-typicality is Atypical

Joint with Justin Noel. Topology and its Applications.
157 (2010) pp 2271–2288.

Computer Software

Visualization of A(2)
February 2013

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

Invited Talks 2012–present

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
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


Hopf fibration – fibers and base
August 2011
Shows Hopf fibration via projection to 3-ball.
Visualizing Seven-Manifolds
January 2012
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

Ohio State University, Newark
Measurement and Geometry for Teachers
2014 2018

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

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.

Service 2012–Present

Site Administrator,
2010 present

Academic Affairs Committee
2017 2019

Oho State University, Newark campus
Presenter, Blowing Off STEAM
January 9, 2018

“Confessions of a Mathematician”
Thirty One West
Presenter, Franklinton Friday
December 8, 2017

“Snowflake Symmetry”
Presenter, Ms. Cline’s 2nd grade class
December 15, 2017

“Snowflake Symmetry”
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
Organizer, Spring 2016 Midwest Topology Seminar
May 14, 2016

Ohio State University, Columbus campus
Organizer, 2016 Pi Measurement Challenge
March 13, 2016

Great Circle Earthworks, Newark, Ohio
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

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