Summer Research 2025
About
This page has information and resources for my Summer 2025 research students at Grinnell.
Schedule
Meeting Location: Noyce 2402 will serve as our "research lab" for the summer. This classroom is reserved for us for the duration of our project. Unless stated otherwise, you can assume our meetings will take place in that room.
Monday, June 9th
Note: I will not be on campus this day so we won't have any formal meetings. Instead, you have some assigned reading and problems that you should complete during your work block for this day. You're welcome to meet without me though!
- Read these notes: Posets, Hasse diagrams, and lattices
- Complete the exercises in Section 4 to the best of your ability. You don't need to write up any formal proofs or anything. But you should have an outline for as many of the exercises you can. If you get stuck, come with questions. We will discuss the reading and problems on Tuesday.
Tuesday, June 10th
- 10AM-12PMish: Group meeting to discuss the reading and exercises. Meet in Noyce 2402 at 10.
- 12PMish-1PM: Lunch break.
- 1PM-2PMish: "Lecture" in Noyce 2402.
- 2PMish-3PM: Break, solo work time on problems.
- 3-4PM: Group meeting without Christy to go over problems, ask each other questions, etc. Meet in 2402.
- 4PM-5PMish: Christy will have open office hours in Noyce 2248 if you want to stop by to ask questions, check solutions, etc.
Wednesday, June 11th and Thursday, June 12th
- Before 10:30AM: Each of you should pick a problem to present in our group meeting at 10:30. Make sure to discuss problem choices beforehand.
- 10:30AM-12PMish: Group meeting in 2402 to discuss and present exercises. Christy will present some new content and exercises, time permitting.
- 12PMish-1PM: Lunch break.
- 1PM-2PMish: "Lecture" in 2402.
- 2PMish-3PM: Break, solo work time on problems.
- 3-4PM: Group meeting in 2402 without Christy to go over problems, ask each other questions, etc.
Friday, June 13th
- Before 10:30AM: Each of you should pick a problem to present in our group meeting at 10:30. Make sure to discuss problem choices beforehand.
- 9:30AM-10:30AM: Office hours to ask questions, check solutions, etc.
- 10:30AM-11:30AMish: Group meeting in 2402 to discuss and present exercises. We'll then discuss the plan for next week.
- Afternoon: Review what we covered this week, organize notes/exercise solutions, record any questions you still have. Start reading your paper portion.
Monday, June 16th
- Independent work day. Work on reading your section and preparing the summary you will present to us on Tuesday.
- 3-4PM: Open office hours
Tuesday, June 17th
- 10:30AM-12PMish: Presentations in Noyce 2402
- 1-2PM: "Lecture" in Noyce 2402
Wednesday, June 18th
- Before 10:30AM: Each of you should pick a problem to present in our group meeting at 10:30. Make sure to discuss problem choices beforehand.
- 10:30AM-12PMish: Group meeting in 2402 to discuss and present exercises. Christy will present some new content and exercises, time permitting.
- 1-2PMish: "Lecture in Noyce 2402"
Thursday, June 19th
- No meetings today. Work through exercises from Wednesday.
Friday, June 20th
- 10:30AM-12PMish: No lecture because of the rain!
- Afternoon: Keep working through the paper(s), work on exercises from morning
Monday, June 23rd
- 10:30AM-12PMish: Meet to go over paper(s), discuss exercise. Start last lecture.
- 1-2PM: Lecture, discuss plan for the rest of the week.
Possible Resources
Note: I do not expect you to read or even look at all of these papers! I am just collecting possible resources as they come to mind. We'll focus on certain papers/topics as the summer progresses.
Papers
- On minimal bases in homotopical combinatorics by Katharine Adamyk, Scott Balchin, Miguel Barrero, Steven Scheirer, Noah Wisdom, and Valentina Zapata Castro
- N∞-operads and associahedra by Scott Balchin, David Barnes, and Constanze Roitzheim
- Model structures on finite total orders by Scott Balchin, Kyle Ormsby, Angélica Osorno, and Constanze Roitzheim
- The Combinatorics of N∞ operads for Cqpn and Dpn by Scott Balchin, Ethan MacBrough, and Kyle Ormsby
- The Lifting N_infty operads from conjugacy data by Scott Balchin, Ethan MacBrough, and Kyle Ormsby
- Combinatorics of factorization systems on lattices by Jishnu Bose, Tien Chih, Hannah Houden, Legrand Jones II, Chloe Lewis, Kyle Ormsby, and Millie Rose
- Transfer systems for rank two elementary Abelian groups: characteristic functions and matchstick games by Linus Bao, Christy Hazel, Tia Karkos, Alice Kessler, Austin Nicolas, Kyle Ormsby, Jeremie Park, Cait Schleff, and Scotty Tilton
- Bi-incomplete Tambara functors as O-commutative monoids by David Chan
- Self-Duality of the Lattice of Transfer Systems via Weak Factorization Systems by Evan E. Franchere, Kyle Ormsby, Angélica Osorno, Weihang Qin, and Riley Waugh
- Saturated and linear isometric transfer systems for cyclic groups of order pmqn by Usman Hafeez, Peter Marcus, Kyle Ormsby, and Angélica Osorno
- Counting compatible indexing systems for Cpn by Mike Hill, Jiayun Meng, and Nan Li
- On the lattice of the weak factorization systems on a finite lattice by Yongle Luo and Baptise Rognerud
- Uniquely compatible transfer systems for cyclic groups of order prqs by Kristen Mazur, Angélica Osorno, Constanze Roitzheim, Reka Santhanam, Danika Van Niel, and Valentina Zapata Castro
- Categorifying the algebra of indexing systems by Jonathan Rubin
- Characterizations of equivariant Steiner and linear isometries opeards by Jonathan Rubin
- Combinatorial N∞ operads by Jonathan Rubin
Other stuff
