Curriculum Vitae
![[picture of Niles]](IDpics/Niles11.png)
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
Submitted.
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
Fall
2012
The Ohio State University
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
Judge, FIRST Lego League Regional Tournament
December
8
2012
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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contact page.
