Iqra Altaf

About me

I am a sixth year graduate student at the University of Chicago working under the supervision of Marianna Csornyei. My primary area of research is geometric measure theory. I am also interested in its connections to other fields such as harmonic analysis and the recently discovered connection to the theory of computing. Here is my CV .

Contact information

Email - iqra@uchicago.edu

Office - E-128, Eckhart Hall, University of Chicago.

During my PhD I have pursued problems related to scaled oscillation, Besicovitch sets, Falconer distance problem and the Sard’s theorem.

Papers

Packing Dimension of Polyhedral Distance Sets (w/ R.Bushling and B. Wilson). (Upcoming)

Towards a precise condition for Sard's theorem (w/ M. Csornyei). (Upcoming)

A one-dimensional Gamma-Besicovitch set. (Preprint)

Distance sets bounds for polyhedral norms via effective dimension, (w/ R.Bushling and B. Wilson) (accepted to Real Analysis Exchange), 2024.

Hausdorff dimension of Besicovitch sets of Cantor graphs, (w/ M. Csornyei and K. Hera) Mathematika, Volume 70: e12241, 2024.

Scaled Oscillation and Level Sets, (w/ M. Csornyei and B. Wilson) Proceedings of the American Mathematical Society, 150(07), 2913-2924, 2022.

Talks

Award

I strongly believe in the axioms by Federico Ardila:

Current teaching

In fall 2024, I am teaching Calculus I (Math 151)

Past teaching

Mentorship and Outreach

The Kashmiri word for moon is "zoon". We Kashmiris often extend names when we call each other, I call my beautiful cat "Zooni". Zooni was born on the streets of Chicago in late Sept, 2022. She adopted me on Dec 10th, 2022. She is incredibly loving, playful and mischevious. She enjoys eating duck meat and tuna. Her favorite treat is delectables. Her hobbies include watching birds, chasing insects and playing with her toys. Here are some pictures of Zooni and her friends, feline and human.

Elements

i = 0;

while (!deck.isInOrder()) {
    print 'Iteration ' + i;
    deck.shuffle();
    i++;
}

print 'It took ' + i + ' iterations to sort the deck.';