Welcome to my website.

I'm Ayodeji Lindblad, a second-year Ph.D. student of Tom Mrowka at MIT interested in geometry and topology, primarily in low dimensions. Specific areas of interest include gauge theory and spherical designs.

To contact me, feel free to email my_first_name@mit.edu

My CV can be found at this link and the research papers I've written are listed below:

• • Asymptotically optimal t-design curves on S3 [arXiv:2408.04044, submitted for publication]
    Solves the dimension 3 case of the problem posed by Ehler and Gröchenig of proving that there exist asymptotically optimal sequences of t-design curves on Sd for d > 2.

  • Designs related through projective and Hopf maps [arXiv:2310.12091, submitted for publication]
    Formalizes a construction that builds a spherical t-design by placing a spherical t-design on each projective or Hopf fiber associated to the points of a ⌊t/2⌋-design on a quotient projective space or sphere Σ. This generalizes work of König, Kuperberg, and Okuda, who verified the cases when Σ is a complex projective space or S2.

  • Asymptotically short generalizations of t-design curves [arXiv:2505.03056, to be submitted for publication]
    Proves existence of weighted and εt-approximate t-design curves on Sd of asymptotic order of arc length td-1 for all d in the weighted setting (in which case such curves are asymptotically optimal) and for all odd d in the approximate setting (in which case εt ≍ 1/t as t → ∞). Explicit formulas for such weighted t-design curves are given for d ∈ {2, 3}. 

  • Dynamical stability of translators under mean curvature flow [Available on SPUR website]
    Joint w/ Carlos Alvarado, produced under the supervision of Tang-Kai Lee as part of MIT SPUR 2022. Investigates whether certain classes of perturbations of mean curvature flow translators converge to translators under the flow. 

  • Lifting design curves [writeup in progress, to be released 9/30/2025].

  • Design submanifolds [writeup in progress, to be released 1/27/2026].

Some expository works I've written can also be found below:

• • Instanton Floer homology and applications [To appear].
    Notes following a mini-course given by Tom Mrowka and John Baldwin written joint w/ Joye Chen, Ollie Thakar, and Nathan Geist. In specific, I wrote the sections following Tom's lectures joint w/ Tom and Joye and made figures for both the sections following Tom's lectures and those following John's lectures.

The following are talks I've given:

• Geometrically designing geometric designs [3/14/2025 @ MIT PuMaGraSS]
  I discussed geometric constructions of spherical t-designs and t-design curves.

• Monopole Floer homology and a refinement of Manolescu [10/15/2024 @ MIT Juvitop]
  I gave an overview of the construction of monopole Floer homology (as in Ch. 22 of Tom and Peter's book) and discussed a refinement due to Manolescu involving finite-dimensional approximations of the Seiberg-Witten map which produces a space whose homotopy groups are the monopole Floer homology groups.

• In case you're curious what your local low-dimensional topologists do all day [10/4/2024 @ MIT PuMaGraSS]
  I spoke about Morse theory and Floer theories.

• Designs related through projective and Hopf maps [4/6/2024 @ 2024 AMS Eastern Sectional meeting FRACTals section]
  I discussed my preprint of the same name.

The following are meetings I've organized:

• The Low-dimensional Princeton-Cambridge Exchange Gathering (the Low PriCE Gathering) [4/2-4/4/2025 @ MIT and Harvard]
  A meeting on low-dimensional topology which I organized alongside Ollie Thakar. Abstracts from the event can be found here.

You may recognize me from any of the following I recently attended:

• • 2025 Simons Collaboration on New Structures in Low-Dimensional Topology Annual Meeting in New York City [3/27-3/28/2025]

  • Foliations and Diffeomorphism Groups at CIRM [12/9-12/13/2024]

  • What’s your trick? A Non-Traditional Conference in Low-Dimensional Topology (virtual participant) [8/4-8/9/2024]

  • Summer school and conference - New structures in low-dimensional topology at the Rényi Institute [7/1-7/12/2024]

  • 41st Workshop in Geometric Topology at Calvin University [6/13-6/15/2024]

  • 2024 Georgia Topology Summer School and Conference at the University of Georgia [5/15-5/24/2024]

  • Graduate Student Topology and Geometry Conference 2024 at Michigan State University [4/12-4/14/2024]

  • 2024 AMS Spring Eastern Sectional Meeting at Howard University [4/6-4/7/2024]

  • 2024 Simons Collaboration on New Structures in Low-Dimensional Topology Annual Meeting in New York City [3/28-3/29/2024]

  • Simons Satellite Conference at Princeton University [3/25-3/27/2024]

  • Hot Topics: Artin Groups and Arrangements - Topology, Geometry, and Combinatorics at SLMath [3/11-3/15/2024]

  • Equivariant Methods in Geometry at Cambridge University [1/8-1/12/2024]

  • Early Career Symposium for Topology, Actions, and Symmetry at the University of Southampton [8/10-8/11/2023]

  • Gauge Theory and Topology: in Celebration of Peter Kronheimer’s 60th Birthday at Oxford University [7/24-7/28/2023]

  • RTG Summer School in Geometry and Topology at Princeton University [7/3-7/21/2023]

  • Workshop in Geometric Topology at Colorado College [6/15-6/17/2023]

  • New Developments in 3- and 4-Manifold Topology at the University of Virginia [6/5-6/7/2023]

  • FRG Workshop on Discrete and Computational Geometry, Shape Analysis, and Applications at Rutgers University [5/19 - 5/21/2023]

  • Summer Program in Undergraduate Research at MIT [6/5-8/4/2022]

  • The Undergraduate Research Opportunities Program at MIT [2020-2023]

  • My undergraduate years at MIT, where I lived on Black Hole in Random Hall [2019-2023]

  • My time growing up in Baltimore, The Greatest City in America.