# Darien DeWolf

Department of Mathematics and Statistics

St. Francis Xavier University

2323 Notre Dame Ave

Antigonish, NS B2G 2W5

[**Home**]

I am currently an assistant professor in the Department of Mathematics and Statistics at St. Francis Xavier University.

My current research areas include inverse semigroups, category theory, groupoids and restriction categories.

Publications | Preprints | Students Supervised | Theses | Talks | Education | Awards | Employment and Teaching | Other

## Publications. [top]

### In Print

"The Ehresmann-Schein-Nambooripad Theorem for Inverse Categories." Darien DeWolf, Dorette Pronk. *Theory and Applications of Categories.* (2018) 33:813-831.

PDF Direct Download: [pdf]

The final publication link is available at TAC.

"On commutation semigroups of dihedral groups." Darien DeWolf, Charles Edmunds, Christopher Levy. *Semigroup Forum* (2013) 87:467-488.

PDF Direct Download: [pdf]

The final publication link is available at link.springer.com: DOI: s00233-013-9483-x

## Preprints. [top]

"Commutation Semigroups of Finite Metacyclic Groups with Trivial Centre (with Charles C. Edmunds)." 2018.

PDF Preprint Download: [pdf]

arXiv: 1807.10389

"On Double Inverse Semigroups (with Dorette Pronk)." 2015.

PDF Direct Download: [pdf]

arXiv: 1501.03690

## Students Supervised. [top]

### Honours Students

Maxwell Jennings

Thesis Title: *Crossed Modules*

Degree: B.Sc. Joint Honours in Mathematics and Computer Science

St. Francis Xavier University

## Theses. [top]

"Restriction Category Perspectives of Partial Computation and Geometry." Ph.D. Dissertation (Dalhousie University, Halifax, N.S.), 2017.

PDF Direct Download: [pdf]

"On Double Inverse Semigroups." M.Sc. Dissertation (Dalhousie University, Halifax, N.S.), 2013.

PDF Direct Download: [pdf]

"On Commutation Semigroups of Dihedral Groups of Order 2N Where N is Even." B.Sc. Honours Thesis (Mount Saint Vincent University, Halifax, N.S.), 2012.

PDF Direct Download: [pdf]

## Talks. [top]

"The equivalence of ordered groupoids and left cancellative categories using double categories"- 06.10.2019 : CMS Summer Meeting. University of Regina, Regina, SK. [slides]

"A comparison lemma for Ehresmann sites"

- 03.26.2019 : @Cat Seminar. Dalhousie University, Halifax, NS.

"Introduction to Categories"

- 11.19.2018 : Seminar. St. Francis Xavier University, Antigonish, NS.

"Groupoids Associated to Join Inverse Categories"

- 07.13.2018 : Category Theory. University of the Azores, Azores, Portugal. [slides]
- 06.04.2018 : CMS Summer Meeting. University of New Brunswick, Fredericton, NB.

"Monads as Models of Computation"

- 01.15.2018 : Seminar. St. Francis Xavier University, Antigonish, NS.

"Restriction bicategories: two approaches"

- 10.24.2017 : @Cat Seminar. Dalhousie University, Halifax, NS. [slides]

"An Element-Based Reformulation of Restriction Monads"

- 07.20.2017 : Category Theory. University of British Columbia, Vancouver, BC. [slides]
- 06.08.2017: Foundational Methods in Computer Science. University of Ottawa, Ottawa, ON.

"Restriction Monads and Their Algebras"

- 12.04.2016: Union College Mathematics Conference. Union College, Schenectady, NY, USA. [slides]
- 11.15.2016: @Cat Seminar. Dalhousie University, Halifax, NS.

"Restriction Monads"

- 08.11.2016: Category Theory. Dalhousie University, Halifax, NS. [slides]

"Restriction Monads and Category Objects"

- 06.04.2016: Foundational Methods in Computer Science. University of British Columbia, Vancouver, BC. [slides]

"Restriction Categories and Monads"

- 11.27.2015 (Part I): Mathematics Graduate Seminar. Dalhousie University, Halifax, NS.
- 12.04.2015 (Part II): Mathematics Graduate Seminar. Dalhousie University, Halifax, NS.

"Partial Functions and Categories of Partial Maps"

- 10.24.2015: Science Atlantic. Acadia University, Wolfville, NS. [slides]

"Inverse Restriction Categories and Their Groupoids"

- 06.06.2015: Foundational Methods in Computer Science. Colgate University, Hamilton, NY, USA. [slides]

"Double Groups and Semigroups"

- 10.04.2014: Science Atlantic. University of New Brunswick, St. John, NB. [slides]

"On Double Inverse Semigroups"

- 06.06.2014: Foundational Methods in Computer Science. University of Calgary, Calgary, AB. [slides]

"On Commutation Semigroups of Dihedral Groups"

- 03.13.2013: Honours Seminar. Dalhousie University, Halifax, NS.
- 10.13.2012: Science Atlantic. Mount Allison University, Sackville, NB. [slides]

## Education. [top]

Ph.D. in Mathematics- 2013-2017 at Dalhousie University, Halifax, NS.
- Advisor: Dr. Dorette Pronk
- Defence: July 7, 2017
- Convocation: October 4, 2017

M.Sc. in Mathematics

- 2012-2013 at Dalhousie University, Halifax, NS.
- Advisor: Dr. Dorette Pronk
- Thesis: On Double Inverse Semigroups

B.Sc. (Honours) in Mathematics

- 2008-2012 at Mount Saint Vincent University, Halifax, NS.
- Advisor: Dr. Charles Edmunds
- Thesis: On Commutation Semigroups of Dihedral Groups of Order 2N Where N is Even
- First Class Honours
- Minor: Computer Science

## Awards. [top]

Izaak Walton Killam Predoctoral Scholarship- September 2016 at Dalhousie University ($25,000)
- September 2015 at Dalhousie University (honorary)

Nova Scotia Graduate Scholarship

- September 2015 at Dalhousie University (honorary)
- September 2014 at Dalhousie University (honorary)

NSERC CGS-D3 Research Scholarship

- September 2015 at Dalhousie University ($35,000)
- September 2014 at Dalhousie University ($35,000)
- September 2013 at Dalhousie University ($35,000)

Dalhousie University President's Award

- September 2014 at Dalhousie University (tuition waiver)
- September 2013 at Dalhousie University (tuition waiver)

NSERC CGS-M Research Scholarship

- December 2012 at Dalhousie University ($17,500)

Frank Bennett Research Award

- May 2012 at Mount Saint Vincent University

Dr. Len Parent Computer Science Award

- May 2011 at Mount Saint Vincent University

## Employment and Teaching. [top]

St. Francis Xavier University, Antigonish, N.S.August 2017 to Present: Assistant Professor

- Math 002: University Math Preparation for Professional Programs
- Math 102: Graphs, Functions, Geometry
- Math 105: Business Mathematics
- Math 106: Calculus I
- Math 107: Calculus II
- Math 121: Calculus I for Engineers
- Math 122: Calculus II for Engineers
- Math 354: Modern Algebra I
- Math 454: Modern Algebra II
- Math 499: Introductory Category Theory
- Stat 101: Introductory Statistics

Mount Saint Vincent University, Halifax, N.S.

July 2014 to August 2017: Part-Time Faculty

- Math 1102: Precalculus I
- Math 1103: Precalculus II
- Math 1113: Calculus I
- Math 1114: Calculus II
- Math 2208: Statistics I
- Math 2209: Statistics II
- Math 2225: Mathematical Proof
- Math 3326: Abstract Algebra II

## Other Academic and Administrative Activities. [top]

Canadian Mathematical Society- Member of the Canadian Mathematical Society
- Session co-organizer at CMS Summer Meeting 2019 - Categorical Approaches to Topology and Geometry: June 6-10, 2019 [Session Page]
- Session co-organizer at CMS Summer Meeting 2018 - Categories and Topology: June 1-4, 2018 [Session Page]

St. Francis Xavier University

- Poster Judge - StFX Student Research Day: March 21, 2019
- Team Captain - Team StFX, Science Atlantic Mathematics Competition: September 6, 2018 - Present
- Science Atlantic Representative - Mathematics/Statistics: September 6, 2018 - Present
- Recording Secretary - Mathematics and Statistics Division: September 6, 2018 - July 1, 2019
- Ad-Hoc Committee - Report on Student/Faculty Engagement in the Department of Mathematics, Statistics, and Computer Science: February - March, 2018
- Recording Secretary - Department of Mathematics, Statistics, and Computer Science: August 30, 2017 - September 13, 2018

Science Atlantic Math/Stats/CS Conference [Conference Website]

- Judge - Contributed Talk Sessions: October 13, 2018
- Judge - Contributed Talk Sessions: October 13 - 15, 2017
- The judging team at the Science Atlantic Math/Stats/CS Conference is responsible for deciding which contributed talks (which are, for the most part, given by undergraduates) will receive prizes, which have monetary value.

Professional Development

- Mental Health First Aid Canada: Adults who Interact with Youth Aged 12-24: July 10 and 16, 2019

AARMS/DMSGSA Summer School 2016 Student Conference

- Organizer and Session Chair.
- Funded by the Dalhousie Mathematics and Statistics Graduate Students' Association (DMSGSA), this conference was intended to complement the Summer School being run at Dalhousie University by the Atlantic Association for Research in the Mathematical Sciences (AARMS). My duties included soliciting and scheduling speakers, scheduling catering services, creating the conference website, booking the speaking space and advertising the conference to the Dalhousie mathematics community.

Dalhousie Mathematics and Statistics Graduate Students' Association

- President: Sept. 2015 to Present
- An executive member of the Dalhousie Mathematics and Statistics Graduate Association. My primary role overseeing the operations of the society, including its ratification. I am also responsible for chairing meetings of the society, to act as co-signer for the accounts of the society and to act as a liaison between the society and the Dalhousie Association of Graduate Students.

- Lett Bursary Representative: Sept. 2013 to Sept. 2015
- An executive member of the Dalhousie Mathematics and Statistics Graduate Association. My primary role was to meet once a term with administration to fairly allocate scholarships to graduate students in need. I also help organize association events and fundraisers.

- Department Liaison: Sept. 2012 to Sept. 2013
- An executive member of the Dalhousie Mathematics and Statistics Graduate Association. My primary role was to attend all faculty meetings and compose a graduate student newsletter informing them of changes relevant to our graduate experience. I also helped organize association events and fundraisers.

Math Circles Nova Scotia [website]

- In-School Presenter: September 2013 to June 2014
- Math Circles Nova Scotia is a community math outreach program. As a presenter for Math Circles, I visited junior high school classrooms and ran a problem solving workshop.

Copyright © Darien DeWolf 2010-2019

Updated: 07.14.2019