I am a Lecturer in the Department of Mathematics and Statistics at the University of Otago. Previously I was an Assistant Professor (RTPC) in the Department of Mathematics at the University of Southern California. I received my Ph.D in 2015 from the University of Illinois at Urbana-Champaign, under the direction of Alexander Yong.

My CV can be found here.

My current research interests broadly involve the rich interplay between algebra, geometry and combinatorics, with a particular focus on questions of positivity in algebraic combinatorics.

22. (with Sarah Mason)
*Lifting the dual immaculate functions*, preprint 2020.
[arxiv]

21. (with Oliver Pechenik)
*Asymmetric function theory*, preprint 2019.
[arxiv]

20.
*Indecomposable 0-Hecke modules for extended Schur functions*, Proceedings of the American Mathematical Society,
to appear.

19. (with Cara Monical and Oliver Pechenik)
*Polynomials from combinatorial K-theory*, Canadian Journal of Mathematics, to appear.

18.
*Polynomial bases: positivity and Schur multiplication*, Transactions of the American Mathematical Society, to appear.

17. (with Sami Assaf)
*Kohnert polynomials*, Experimental Mathematics, to appear.

16. (with Oliver Pechenik)
*Decompositions of Grothendieck Polynomials*,
International Mathematics Research Notices **2019** no. 10 (2019), 3214-3241.

15. (with Oliver Pechenik)
*Deformed Cohomology of Flag Varieties*, Mathematical Research Letters **25** no. 2 (2018), 649-657.

14. (with Sami Assaf)
*Kohnert tableaux and a lifting of quasi-Schur functions*, Journal of Combinatorial Theory, Series A **156** (2018), 85-118.

13. (with Sami Assaf)
*Schubert polynomials, slide polynomials, Stanley symmetric functions and quasi-Yamanouchi pipe dreams*,
Advances in Mathematics
**306** (2017), 89-122.

12.
*Root-theoretic Young diagrams and Schubert calculus II*,
Journal of Combinatorics **7** no. 1 (2016), 159-203.

11. (with Alexander Yong)
*Root-theoretic Young diagrams and Schubert calculus: planarity and the adjoint varieties*,
Journal of Algebra **448** (2016), 238-293.

10. (with Arkadii Slinko)
*Noncoherent initial ideals in exterior algebras,* Beiträge zur Algebra und Geometrie **56** no. 2 (2015), 759-762.

9. (with Ilya Chevyrev and Arkadii Slinko)
*On the Number of Facets of Polytopes Representing Comparative Probability Orders,*
Order **30** no. 3 (2013), 749-761.

8. (with Sami Assaf)
*Skew polynomials and extended Schur functions*, The 31st International Conference on Formal Power Series and Algebraic Combinatorics, Ljubjlana, Slovenia (FPSAC 2019).
Séminaire Lotharingien de Combinatoire, to appear, 2019.

7. (with Cara Monical and Oliver Pechenik)
*K-theoretic polynomials*, The 31st International Conference on Formal Power Series and Algebraic Combinatorics, Ljubjlana, Slovenia (FPSAC 2019).
Séminaire Lotharingien de Combinatoire, to appear, 2019.

6.
*Combinatorial bases of polynomials*, The 30th International Conference on Formal Power Series and Algebraic Combinatorics, Hanover, NH, U.S.A. (FPSAC 2018).
Séminaire Lotharingien de Combinatoire **80B** (2018), Article #53, 12pp.

5. (with Sami Assaf)
*Slide polynomials*, The 29th International Conference on Formal Power Series and Algebraic Combinatorics, London, United Kingdom (FPSAC 2017).
Séminaire Lotharingien de Combinatoire **78B** (2017), Article #11, 12pp.

4. (with Alexander Yong)
*Root-theoretic Young diagrams, Schubert calculus and Adjoint Varieties*, The 25th International Conference on Formal Power Series and Algebraic Combinatorics, Paris, France (FPSAC 2013).
DMTCS proceedings, vol. AS (2013) 493-502.

3. (with Marston Conder and Arkadii Slinko)
*Comparative probability orders and the flip relation*, The 5th International Symposium on Imprecise Probability: Theories and Applications (ISIPTA 07), Prague, Czech Republic (2007) 67-76.

2.
*Root-theoretic Young diagrams and Schubert calculus*, Ph.D. Thesis, University of Illinois at Urbana-Champaign, Illinois, USA (2015).

1.
*Initial ideals in exterior algebras*, Master's Thesis, University of Auckland, New Zealand (2009).

Office: Room 219, Science III Building

Department of Mathematics and Statistics

University of Otago

730 Cumberland Street

Dunedin 9016, New Zealand