# 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

Assistant Professor

August
2012
–
present

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

## Research

Modeling stable two-types

In
preparation.

Joint with Peter May and Angélica Osorno.

Do niches have holes?

In
preparation.

Joint with John Drake.

Cohomology with Coefficients in Picard Groupoids

In
preparation.

Joint with Angélica Osorno.

Lifting homotopy T-algebra maps to strict maps

Joint with Justin Noel. Submitted.

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://www.nilesjohnson.net/Aof2/.

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

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

## Invited Talks 2010–present

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

Modeling Stable One-Types

Topology Seminar, University of Chicago

March
2012

Topology Seminar, Northwestern University

March
2012

Topology Seminar, University of Western Ontario

April
2012

Obstruction theory for homotopical algebra maps

Topology Seminar, Ohio State University

February
2012

Colloquium, University of Michigan Dearborn

January
2012

Joint Math Meetings, AMS Special Session on Homotopy Theory, Boston, MA

January
2012

Topology Seminar, Wayne State University, Detroit, MI

November
2011

Topology Seminar, University of Louisiana, Lafayette

September
2011

Homotopical Brauer Theory

Structured Ring Spectra, TNG; Hamburg, Germany

August
2011

Topology Seminar, Universität Bonn, Germany

June
2011

Low-degree cohomology for finite groups of Lie type

Colloquium, University of Louisiana, Lafayette

September
2011

Wild CATS (Combinatorics, Algebra, Topology, Statistics),

University of Kentucky

University of Kentucky

March
2011

For complex oriented cohomology theories, p-typicality is atypical

Topology Seminar, University of Kentucky

March
2011

Topology Seminar, The Ohio State University

February
2011

Topology Seminar, University of Virginia

November
2010

Topology Seminar, Indiana University

April
2010

Brave New Brauer Theory

Brauer Group Conference and Workshop, Eliat, Israel

January
2010

## Animations

Hopf fibration – fibers and base

August
2011

http://www.nilesjohnson.net/hopf

Shows Hopf fibration via projection to 3-ball.

Shows Hopf fibration via projection to 3-ball.

Visualizing Seven-Manifolds

January
2012

http://www.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

Math for Elementary Teachers

2012
–
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

Site Administrator, AlgTop-Conf

2010
–
present

Poster Judge, Student Research Forum

March
2014

Ohio State University at Newark

Organizer, AMS Special Session on Homotopy Theory

January
2014

Joint Math Meetings, Baltimore, MD

http://www.nilesjohnson.net/homotopy-special-session-2014.html

http://www.nilesjohnson.net/homotopy-special-session-2014.html

Library Committee

2013
–
2014

Ohio State University, Newark

Judge, FIRST Lego League Regional Tournament

2012,
2013

Regional tournament project judge

Undergraduate Math Club Talk

October
2012

Visualizing Spheres

University of Kentucky

University of Kentucky

Organizer, Algebra Seminar

2011
–
2012

University of Georgia

Athens Math Circle Presentation

April
2012

Königsberg Bridges and Euler Characteristic

University of Georgia

University of Georgia

Judge, MAA Undergraduate Poster Session

January
2012

Joint Math Meetings, Boston, MA

Undergraduate Math Club Talk

October
2011

Visualizing the Hopf Fibration

University of Georgia

University of Georgia

Mentor, Undergraduate research projects

Summer
2011

2 projects, University of Georgia

Organizer, VIGRE Graduate Seminar

2009
–
2011

University of Georgia

Undergraduate Math Club Talk

September
2010

Möbius, Klein, and Friends

University of Georgia

University of Georgia

Organizer, Georgia Topology Conference

May
2010

University of Georgia

Judge, Georgia State Science Fair

April
2010

Athens, GA

Career Day at Barrow Elementary School

December
2009,
2010

Athens, GA

Mentor, Directed Reading Program

2005
–
2008

4 projects, University of Chicago

Mentor, Research Experience for Undergraduates

2004,
2005,
2007

University of Chicago

#### Other Pages

#### Office Information

Hopewell 189

Newark Campus

Ohio State University

1179 University Drive

Newark, Ohio 43055

Tel: +1 740 755 7856

#### E-mail address

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For more information, see the

contact page.