Brendon Rhoades's Homepage
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My research is in algebraic combinatorics. Here are some papers.

[pdf] Increasing subsequences, matrix loci, and Viennot shadows (Submitted, 2023.)

[pdf] The combinatorics of supertorus sheaf cohomology [with Jesse Kim and Jeff Rabin] (Journal of Geometry and Physics, 193, (2023), 104963, ISSN 0393-0440, https://doi.org/10.1016/j.geomphys.2023.104963 (13 pages).)

[pdf] The Hilbert series of the superspace coinvariant ring [with Andy Wilson] (Submitted, 2023.)

[pdf] Zonotopal algebras, orbit harmonics, and Donaldson-Thomas invariants of symmetric quivers [with Markus Reineke and Vasu Tewari] (International Mathematics Research Notices, 2023, rnad033 (43 pages).)

[pdf] Characters of local and regular permutation statistics [with Zach Hamaker] (Submitted, 2022.)

[pdf] Generalizations of the flag variety tied to the Macdonald-theoretic delta operators (Chapter for Handbook of Combinatorial Algebraic Geometry, 2022.)

[pdf] Plethysm and a character embedding problem of Miller (Comptes Rendus Mathématique, 360 (2022), 1113-1116.)

[pdf] Haglund's conjecture for multi-t Macdonald polynomials [with Seung Jin Lee and Jaeseong Oh] (Discrete Mathematics, 346 (6) (2023), 113360 (12 pages).)

[pdf] A proof of the fermionic Theta coinvariant conjecture [with Alessandro Iraci and Marino Romero] (Discrete Mathematics, 346 (7) (2023), 113474 (11 pages).)

[pdf] Set partitions, fermions, and skein relations [with Jesse Kim] (International Mathematics Research Notices, Volume 2023, Number 11, 9427-9480. rnac110.)

[pdf] Set superpartitions and superspace duality modules [with Andrew Timothy Wilson] (Forum of Mathematics, Sigma, 10 (2022), E105. doi:10.1017/fms.2022.90 (54 pages))

[pdf] Packed words and quotient rings [with Daniël Kroes] (Discrete Mathematics, 345 (9), (2022), 112945. (10 pages))

[pdf] Cyclic sieving and orbit harmonics [with Jaeseong Oh] (Mathematische Zeitschrift, 300, (2022), 639-660.)

[pdf] Increasing subsequences and Kronecker coefficients [with Jonathan Novak] (For the ``Open Problems in Algebraic Combinatorics" AMS volume to accompany the OPAC 2022 conference at U. Minnesota)

[pdf] Higher Specht bases for generalizations of the coinvariant ring [with Maria Gillespie] (Annals of Combinatorics, 25 (1), (2021), 51-77.)

[pdf] Harmonic bases for generalized coinvariant algebras [with Tianyi Yu and Zehong Zhao] (Electronic Journal of Combinatorics, 27 (4), (2020), P4.16 (23 pages).)

[pdf] Lefschetz theory for exterior algebras and fermionic diagonal coinvariants [with Jongwon Kim] (International Mathematics Research Notices, Volume 2022, Issue 4, 2906-2933. rnaa203)

[pdf] Spanning subspace configurations and representation stability [with Brendan Pawlowski and Eric Ramos] (Electronic Journal of Combinatorics, 30 (1) (2023), P1.7 (9 pages).)

[pdf] Vandermondes in superspace [with Andrew Timothy Wilson] (Transactions of the American Mathematical Society, 373 (6), (2020), 4483-4516.)

[pdf] Spanning subspace configurations (Selecta Mathematica (New Series), 27 (1), (2021) https://doi.org/10.1007/s00029-021-00617-6 (36 pages).)

[pdf] Boolean product polynomials, Schur positivity, and Chern plethysm [with Sara Billey and Vasu Tewari] (International Mathematics Research Notices, Volume 2021, Issue 21, 16634-16668. rnz261)

[pdf] The polytabloid basis expands positively into the web basis (Forum of Mathematics, Sigma, 7, (2019), e26. (8 pages))

[pdf] Line configurations and r-Stirling partitions [with Andrew Timothy Wilson] (Journal of Combinatorics (Special issue honoring Jeff Remmel), 10 (3), (2019), 411-431.)

[pdf] Hall-Littlewood expansions of Schur delta operators at t = 0 [with James Haglund and Mark Shimozono] (Séminaire Lotharingien de Combinatoire, B79c, (2019). (20 pp.))

[pdf] A flag variety for the Delta Conjecture [with Brendan Pawlowski] (Transactions of the American Mathematical Society, 372, (2019), 8195-8248.)

[pdf] Hall-Littlewood polynomials and a Hecke action on ordered set partitions [with Jia Huang and Travis Scrimshaw] (Proceedings of the American Mathematical Society, 147 (5), (2019), 1839-1850.)

[pdf] Tail positive words and generalized coinvariant algebras [with Andrew Timothy Wilson] (Electronic Journal of Combinatorics, 24 (3), (2017), P3.21. (29 pages))

[pdf] Generalized coinvariant algebras for wreath products [with Jonathan Chan] (Advances in Applied Mathematics, 120 (2020), Article 102060.)

[pdf] Ordered set partitions and the 0-Hecke algebra [with Jia Huang] (Algebraic Combinatorics, 1 (1), (2018), 47-80.)

[pdf] Ordered set partitions, generalized coinvariant algebras, and the Delta Conjecture [with James Haglund and Mark Shimozono] (Advances in Mathematics, 329, (2018), 851-915.)

[pdf] Ordered set partition statistics and the Delta Conjecture (Journal of Combinatorial Theory, Series A, 154 (2018), 172-217.)

[pdf] Cyclic sieving and rational Catalan theory [with Michelle Bodnar] (Electronic Journal of Combinatorics, 23 (2), (2016), P2.4. (38 pages))

[pdf] Evidence for parking conjectures (Journal of Combinatorial Theory, Series A, 146 (2017), 201-238.)

[pdf] A skein action of the symmetric group on noncrossing partitions (Journal of Algebraic Combinatorics, 45 (1) (2017), 81-127.)

[pdf] The polytope of Tesler matrices [with Karola Mészáros and Alejandro Morales] (Selecta Mathematica (New Series), 23 (1) (2017), 425-454.)

[pdf] Alexander duality and rational associahedra (SIAM Journal on Discrete Mathematics (SIDMA), 29 (1), (2015), 431-460.)

[pdf] Bijections for the Shi and Ish arrangements [with Emily Leven and Andrew Timothy Wilson] (European Journal of Combinatorics, 39C, (2014), 1-23.)

[pdf] Parking structures: Fuss analogs (Journal of Algebraic Combinatorics, 40, (2014), 417-473.)

[pdf] Parking spaces [with Drew Armstrong and Victor Reiner] (Advances in Mathematics, 269 (2015), 647-706.)

[pdf] Extending the parking space [with Andrew Berget] (Journal of Combinatorial Theory, Series A, 123 (1), (2014), 43-56.)

[pdf] Rational associahedra and noncrossing partitions [with Drew Armstrong and Nathan Williams] (Electronic Journal of Combinatorics, 20 (3), (2013), P54. (27 pages))

[pdf] Combinatorics of Tesler matrices in the theory of parking functions and diagonal harmonics [with Drew Armstrong, Adriano Garsia, James Haglund, and Bruce Sagan] (Journal of Combinatorics, 3 (3), (2012), 451-494.)

[pdf] Enumeration of connected Catalan objects by type (European Journal of Combinatorics, 32 (2), (2011), 330-338.)

[pdf] The Shi arrangement and the Ish arrangement [with Drew Armstrong] (Transactions of the American Mathematical Society, 364, (2012), 1509-1528.)

[pdf] Cyclic sieving and cluster multicomplexes (Advances in Applied Mathematics, 45, (2010), 470-486.)

[pdf] The cluster and dual canonical bases of Z[x_{11}, ..., x_{33}] are equal (Discrete Mathematics and Theoretical Computer Science, 12 (5), (2010), 97-124.)

[pdf] Hall-Littlewood polynomials and fixed point enumeration (Discrete Mathematics, 310 (4), (2010), 869-876.)

[pdf] Promotion and cyclic sieving via webs [with Kyle Petersen and Pasha Pylyavskyy] (Journal of Algebraic Combinatorics, 30 (1), (2009), 19-41.)

[pdf] Cyclic sieving, promotion, and representation theory (Journal of Combinatorial Theory, Series A, 117 (1), (2010), 38-76.) [Also, my PhD thesis.]

[pdf] Bitableaux and zero sets of dual canonical basis elements [with Mark Skandera] (Annals of Combinatorics, 13 (3), (2011), 499-528.)

[pdf] Kazhdan-Lusztig immanants and products of matrix minors, II [with Mark Skandera] (Linear and Multilinear Algebra, 58 (2), (2010), 137-150.)

[pdf] Kazhdan-Lusztig immanants [with Mark Skandera] (Journal of Algebra, 304 (2), (2006), 793-811.)

[pdf] Temperley-Lieb immanants [with Mark Skandera] (Annals of Combinatorics, 9 (4), (2005), 451-495.)


Here are my upcoming travel plans. ~ means I haven't purchased tickets yet, so the dates are inexact.

4/2/2024 - 4/4/2024: Seattle, WA

4/4/2024 - 4/6/2024: Berkeley, CA


Here is a list of places I have given (or will very soon give) talks.

October, 2023. Brown University. Providence, RI. (invited)

September, 2023. University of Southern California. Los Angeles, CA. (invited)

September, 2023. Seoul National University. Seoul, Korea. (invited)

August, 2023. International Christian University. Tokyo, Japan. (invited)

August, 2023. Hokkaido University. Sapporo, Japan. (invited)

July, 2023. 35th International Conference on Formal Power Series and Algebraic Combinatorics. Davis, CA.

May, 2023. University of California, San Diego. San Diego, CA.

May, 2023. Minnesota Research Workshop in Algebra and Combinatorics. Minneapolis, MN. (invited)

May, 2023. AMS Special Session on "Combinatorics and Representation Theory". Fresno, CA. (invited)

April, 2023. Cascade Lectures in Combinatorics. Portland, OR. (invited)

March, 2023. AMS Special Session on "Macdonald theory at the intersection of combinatorics, algebra, and geometry". Atlanta, GA. (invited)

March, 2023. Kennesaw State University. Marietta, GA. (invited)

September, 2022. Michigan State University (via Zoom). (invited)

August, 2022. University of Southern California. Los Angeles, CA. (invited)

August, 2022. Symmetric Functions in Combinatorics. Seoul National University (via Zoom). (invited)

July, 2022. Important Papers in Algebraic Combinatorics Seminar (University of Pennsylvania, via Zoom). (invited)

July, 2022. San Diego State University. San Diego, CA. (invited)

June, 2022. AlCoVE: an Algebraic Combinatorics Virtual Expedition (via Zoom). (invited)

December, 2021. One-day workshop on web bases. KIAS. Seoul, South Korea (via Zoom). (invited)

November, 2021. Dynamical Algebraic Combinatorics. BIRS. Kelowna, BC, Canada (via Zoom). (invited)

August, 2021. Important Papers in Algebraic Combinatorics Seminar (University of Pennsylvania, via Zoom). (invited)

April, 2021. Seoul National University Seoul, South Korea (via Zoom). (invited)

June, 2020. Afternoon Seminars on Hyperplanes online (Shinshu University, via Zoom). (invited)

April, 2020. Algebraic Combinatorics Online Workshop (Institut Mittag-Leffler, via Zoom). (invited)

April, 2020. University of Minnesota Combinatorics Seminar (via Zoom). (invited)

December, 2019. Rocky Mountain Algebraic Combinatorics Seminar. Fort Collins, CO. (invited)

November, 2019. SIAM minisymposium "Parking Functions and (Co)invariant Rings". Dallas, TX. (invited)

November, 2019. University of Texas at Dallas. Richardson, TX. (invited)

September, 2019. Arizona State University. Tempe, AZ. (invited)

September, 2019. University of Michigan. Ann Arbor, MI. (invited)

June, 2019. Hilbert schemes, categorification, and combinatorics. Davis, CA. (invited)

May, 2019. CanaDAM 2019. Vancouver, BC, Canada. (invited)

April, 2019. Shinshu University. Matsumoto, Nagano, Japan. (invited)

April, 2019. Sungkyunkwan University. Suwon, South Korea. (invited)

April, 2019. One-Day Meeting in Combinatorics. Sungkyunkwan University. Suwon, South Korea. (invited)

March, 2019. Washington University in St. Louis. St. Louis, MO. (invited)

March, 2019. CombinaTexas. College Station, TX. (invited, plenary)

January, 2019. Representation Theory Connections to (q,t)-Combinatorics. Banff, AB, Canada. (invited)

October, 2018. San Diego State University. San Diego, CA. (invited)

September, 2018. Michigan State University. East Lansing, MI. (invited)

April, 2018. AMS Special Session on Macdonald Polynomials and Related Structures. Nashville, TN. (invited)

April, 2018. University of Pennsylvania. Philadelphia, PA. (invited)

March, 2018. UQAM. Montreal, QC, Canada. (invited)

February, 2018. University of Southern California. Los Angeles, CA.

January, 2018. Joint Mathematics Meetings. AMS Special Session on Dynamical Algebraic Combinatorics. San Diego, CA. (invited)

December, 2017. University of California, Davis. Davis, CA. (invited)

December, 2017. University of California, San Diego. San Diego, CA.

November, 2017. AMS Special Session on Combinatorial Representation Theory. Riverside, CA. (invited)

September, 2017. University of Michigan. Ann Arbor, MI.

June, 2017. Workshop on Equivariant Combinatorics. Montreal, QC, Canada. (invited)

March, 2017. Caltech. Pasadena, CA. (invited)

December, 2016. Western Washington University. Bellingham, WA. (invited)

November, 2016. University of Washington. Seattle, WA.

October, 2016. University of Minnesota. Minneapolis, MN.

August, 2016. Summer Conference on Hyperplane Arrangements. Hokkaido University. Sapporo, Hokkaido, Japan. (invited)

June, 2016. Workshop on Positivity in Algebraic Combinatorics. KIAS. Seoul, South Korea. (invited)

April, 2016. AMS Special Session on Combinatorial Ideals and Applications. Fargo, ND. (invited)

April, 2016. AMS Special Session on Algebraic Combinatorics. Salt Lake City, UT. (invited)

March, 2016. University of Southern California. Los Angeles, CA. (invited)

January, 2016. Joint Mathematics Meetings. AMS Special Session on Algebraic and Topological Methods in Combinatorics. Seattle, WA. (invited)

December, 2015. University of California, Davis. Davis, CA. (invited)

April, 2015. AMS Western Sectional Spring Meeting. Las Vegas, NV. Invited Address. (invited, plenary)

January, 2015. University of California, Los Angeles. Los Angeles, CA. (invited)

October, 2014. AMS Special Session on Generalized Catalan Algebraic Combinatorics. Halifax, NS, Canada. (invited)

September, 2014. University of Michigan. Ann Arbor, MI. (invited)

May, 2014. San Francisco State University. San Francisco, CA.

April, 2014. University of Pennsylvania. Philadelphia, PA. (invited)

October, 2013. Center for Communications Research. La Jolla, CA. (invited)

June, 2013. CanaDAM 2013. St. John's, NL, Canada. (invited)

April, 2013. University of Illinois, Urbana-Champaign. Urbana, IL. (invited)

February, 2013. University of Washington. Seattle, WA.

January, 2013. University of British Columbia. Vancouver, BC, Canada. (invited)

November, 2012. University of California, San Diego. San Diego, CA. (invited)

May, 2012. University of California, Davis. Davis, CA. (invited)

February, 2012. Washington University in St. Louis. St. Louis, MO. (invited)

February, 2012. University of Massachusetts, Boston. Boston, MA. (invited)

February, 2012. University of South Florida. Tampa, FL. (invited)

January, 2012. Syracuse University. Syracuse, NY. (invited)

January, 2012. Loyola University - Chicago. Chicago, IL. (invited)

January, 2012. University of California, San Diego. San Diego, CA. (invited)

October, 2011. University of California, Los Angeles. Los Angeles, CA. (invited)

June, 2011. 23rd International Conference on Formal Power Series and Algebraic Combinatorics. Rekjavik, Iceland.

March, 2011. Center for Communications Research. Princeton, NJ. (invited)

January, 2011. University of Waterloo. Waterloo, ON, Canada. (invited)

January, 2011. The Ohio State University. Columbus, OH. (invited)

November, 2010. AMS Special Session on Algebraic and Topological Combinatorics. South Bend, IN. (invited)

May, 2010. Dartmouth College. Hanover, NH. (invited)

April, 2010. AMS Special Session on Combinatorial Representation Theory. St. Paul, MN. (invited)

March, 2010. University of Miami. Miami, FL. (invited)

October, 2009. AMS Special Session on Algebraic Combinatorics. University Park, PA. (invited)

September, 2009. MIT. Cambridge, MA. (invited)

September, 2008. Bay Area Discrete Math Day. Stanford, CA. (invited)

June, 2008. 20th International Conference on Formal Power Series and Algebraic Combinatorics. Vina del Mar, Chile.

June, 2008. University of Minnesota. Minneapolis, MN. (thesis defense)

May, 2008. University of California, Davis. Davis, CA. (invited)

April, 2008. 4th Graduate Student Combinatorics Conference. Davis, CA.

April, 2008. University of California, Berkeley. Berkeley, CA. (invited)

April, 2008. AMS Special Session on Combinatorial Representation Theory, Topological Combinatorics, and Interactions Between Them. Bloomington, IN. (invited)

February, 2008. San Francisco State University. San Francisco, CA. (invited)

November, 2007. Northeastern University. Boston, MA.

November, 2007. MIT. Cambridge, MA.

October, 2007. University of Michigan. Ann Arbor, MI. (invited)

September, 2007. University of Minnesota. Minneapolis, MN.

April, 2007. 3rd Graduate Student Combinatorics Conference. Seattle, WA.

December, 2006. University of California, Berkeley. Berkeley, CA.

November, 2006. University of Washington. Seattle, WA.

September, 2006. University of Minnesota. Minneapolis, MN.

September, 2006. University of Kansas. Lawrence, KS. (invited)

April, 2006. 2nd Graduate Student Combinatorics Conference. Madison, WI.

November, 2005. University of Minnesota. Minneapolis, MN.

June, 2005. 17th International Conference on Formal Power Series and Algebraic Combinatorics. Taormina, Italy.

April, 2005. 1st Graduate Student Combinatorics Conference. Minneapolis, MN.

March, 2005. University of Minnesota. Minneapolis, MN. (invited)

February, 2005. York University. Toronto, ON, Canada. (invited)

June, 2004. 16th International Conference on Formal Power Series and Algebraic Combinatorics. Vancouver, BC, Canada. (invited)