Ayodeji Lindblad

Research | Expository | Talks | Organization | Figures

Welcome to my website.

I’m a third-year PhD student of Tom Mrowka at MIT with interests in low-dimensional topology, gauge theory, and discrete geometry. Previously, I graduated from MIT with a BS in mathematics. You can reach me at my_first_name@mit.edu and can find my CV at this link.

Research:

• A. Lindblad. Designs related through projective and Hopf maps. Discrete & Computational Geometry, 2025.
  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 $\lfloor t/2\rfloor$-design on a quotient projective space or sphere, generalizing work of König, Kuperberg, and Okuda (who was inspired by work of Cohn, Conway, Elkies, and Kumar).

• A. Lindblad. Asymptotically optimal $t$-design curves on $S^3$. arXiv:2408.04044, submitted for publication, 2025.
  Solves the problem posed by Ehler and Gröchenig of proving that there exist asymptotically optimal sequences of $t$-design curves on the 3-sphere.

• A. Lindblad. Asymptotically short generalizations of t-design curves. arXiv:2505.03056, to be submitted for publication, 2025.
  Proves existence of approximate and weighted $t$-design curves satisfying certain desirable properties which achieve the optimal asymptoitic order of length of spherical $t$-design curves on the $d$-sphere for all odd $d$ in the approximate setting and all $d$ in the weighted setting. Explicit formulas for such weighted $t$-design curves on the 2-sphere and 3-sphere are given for all $t$.

• C. Alvarado, A. Lindblad, supported by Tang-Kai Lee. Dynamical stability of translators under mean curvature flow. Posted to MIT SPUR website, 2022.
  Investigates whether certain classes of perturbations of mean curvature flow translators converge to translators under the flow.

• A. Lindblad. Abelianized boundary Dehn twists on connected sums of complete intersections. In preparation, 2026.

• A. Lindblad. Lifting design curves. In preparation, 2026.

• A. Lindblad. Spherical $t$-designs which fail to average higher harmonics. In preparation, 2026.

• A. Lindblad. Design submanifolds. In preparation, 2026.

Expository:

• J. Baldwin, J. Chen, N. Geist, A. Lindblad, T. Mrowka, O. Thakar. Instanton Floer homology and applications. In New Structures in Low-Dimensional Topology, Bolyai Society Mathematical Studies 1, Springer, Cham, 2026.

• E. Colón, A. Lindblad, G. Martin, M. Wattal. Khovanov Skein lasagna modules for the working topologist. In preparation, 2026.

Talks:

• Geometrically designing geometric designs. MIT PuMaGraSS, 2025.
  I discussed geometric constructions of spherical $t$-designs and $t$-design curves.

• Monopole Floer homology and a refinement of Manolescu. MIT Juvitop, 2024.
  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. MIT PuMaGraSS, 2024.
  I provided an introduction to Morse theory and Floer theories.

• Designs related through projective and Hopf maps. AMS Eastern Sectional Meeting FRACTals section, 2024.
  I discussed my paper of the same name.

Organization:

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

Fun:

Coming soon!

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Many thanks to my good friend Torque, who helped greatly to set up the site!