Duncan Clark's homepage

Information

• email - clarkd@msoe.edu
• office - TBD
• phone - TBD
• OSU dept. website

I am recent graduate of the Ohio State University with a PhD in mathematics under the supervision of John Harper. Next year I will begin teaching as an Instructor in the math department at the Milwaukee School of Engineering.

My main research interests are algebraic topology and homotopy theory. More specifically, I am interested in Goodwillie's calculus of homotopy functors: including structure inherent to the derivatives of functors, and applications of the theory to categories of structured ring spectra. I completed my undergraduate degree in Mathematics at Ohio State University in 2015.

I am a former organizer of the student homotopy seminar at OSU. The seminar website can be found here.

In my spare time I enjoy playing the guitar, listening to new and eclectic music, cooking and traveling.  

Preprints

• (2020) On the Goodwillie derivatives of the identity in structured ring spectra  
      arXiv pdf. To appear in Tbilisi Math. Journal: Special Issue on Homotopy Theory, Spectra, and Structured Ring Spectra
  
  
• (2020) Partition posets and the Goodwillie derivatives of the identity in spaces  
      arXiv pdf (Submitted)
  
  

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Invited Talks

• Jan. 2021 - University of Regina Topology Seminar (online)  
      Title : An intrinsic operad structure for the derivatives of the identity
  
  
• Nov. 2020 - Binghamton University Graduate Conference in Algebra and Topology (online)  
      Title : TBD
  
  
• Oct. 2020 - University of Virginia Topology Seminar (online)  
      Title : An intrinsic operad structure for the derivatives of the identity
  
  
• Oct. 2020 - EPFL Topology Seminar (online)  
      Title : An intrinsic operad structure for the derivatives of the identity
  
  
• June 2020 - Gradutes Reminiscing Online On Topology (online)  
      Title : An operad structure for the Goodwillie derivatives of the identity in structured ring spectra
  
  
• June 2020 - Gradute Online Anything Topology Seminar (online)  
      Title : Functor calculus and the Goodwillie derivatives of the identity for structured ring spectra.
      seminar website slides
  
  
• March 2020 - *AMS Sectional Meeting, Special Session on Homotopy Theory (University of Virgina) 
      Title : Homotopy coherent operads and the Goodwillie derivatives of the identity functor
      *Cancelled
  
  
• July 2019 - Young Topologist Meeting (EPFL, Switzerland) 
      Title: Operads and derivatives in homotopy theory
  
  
• March 2019 - Workshop on Functor Calculus (Ohio State University)
      Title: Understanding higher excision: from stabilization to better approximations

Local talks given at the student homotopy seminar (Ohio State University)

Conference Participation

• Mar. 2020 - *AMS Spring Sectional Meeting (University of Virginia)
• Oct. 2019 - Midwest Topology Seminar/MayDay 2019 (University of Chicago)
• Sept. 2019 - AMS Fall Sectional Meeting (University of Wisconsin-Madison)
• July 2019 - Young Topologist Meeting (EPFL, Switzerland)
• March 2019 - Functor Calculus Workshop (Ohio State University)
• Sept. 2018 - Midwest Topology Seminar (University of Kentucky)
• July 2018 - Young Topologist Meeting (University of Copenhagen, Denmark)
• April 2018 - Midwest Topology Seminar (Indiana University)
• March 2018 - AMS Spring Sectional Meeting (Ohio State University)
• March 2018 - Midwest Topology Seminar (Northwestern University)
• Nov. 2017 - Midwest Topology Seminar (Wayne State University)
• July 2017 - Homotopy Theory: tools and applications (University of Illinois Urbana-Champaign)

Awards

• Spring 2017 - Outstanding Graduate Associate Teaching Award (College of Arts and Sciences, Ohio State)
• Spring 2016 - First Year Teaching Award (Dept. of Mathematics, Ohio State)

Teaching/Experience

Course taught at Ohio State:

• Autumn 2020 - Math 1152 Calc. 2 (recitation TA, online course)
• Autumn 2019 - Math 2177 Math. topics for Engineers (recitation TA)
• Summer 2019 - Math 1151 Calc. 1 (lecturer)
• Autumn 2018 - Math 1161.01/02 Accelerated Calc. 1 (recitation TA)
• Spring 2018 - Math 1151 Calc. 1 (recitation TA)
• Autumn 2017 - Math 1161.01/.02 Accelerated Calc. 1 (recitation TA)
• Summer 2017 - Math 1148 College Algebra (lecturer)
• Spring 2017 - Math 2161.01/.02 Accelerated Calc. 2 (recitation TA)
• Autumn 2016 - Math 1161.02 Accelerated Calc. 1 (recitation TA)
• Summer 2016 - Math 1148 College Algebra (lecturer)
• Spring 2016 - Math 1172 Engineering Calc. 2 (recitation TA)
• Autumn 2015 - Math 1151 Calc. 1 (recitation TA)
• Autumn 2014 - Math 1150 Precaclulus (recitation TA)

Other: 

• Spring 2019 - Mentor for directed reading program at Ohio State
• Summer 2018 - Lead mentor for OSU math dept. graduate student TA training program
• Summer 2017 - Mentor for Young Scholars Program summer bridge experience