About me

I am a third year PhD student at the University of Antwerp and SISSA, under the supervision of Wendy Lowen and Nicolò Sibilla. Earlier got my Master's in Sapienza University in Rome, where I did my thesis under Marco Manetti. Here is my CV.

Contact

  • Alessandro Lehmann (he/him)
  • University of Antwerp, Department of Mathematics
    Middelheimlaan 1, 2020
    Antwerp, Belgium
    alessandro.lehmann at uantwerpen dot be
  • SISSA (International School for Advanced Studies)
    Via Bonomea 265, 34136
    Trieste, Italy
    alehmann at sissa dot it

Research

My main research area is homological algebra, with connections to deformation theory and noncommutative algebraic geometry.

More specifically, my current project revolves around understanding curved deformations of differential graded algebras through their derived categories. If you are interested in the topic, here are the slides from a presentation I did in Antwerp introducing the problem in general terms.

Writing

A. Lehmann, Hochschild cohomology parametrizes curved Morita deformations. Preprint.

A. Lehmann, W. Lowen, Filtered derived categories of curved deformations. Preprint.

Miscellanea

Random writing

My master's thesis on enhancements of triangulated categories. I hope it can be useful as a reference for the basics or as a light introduction to some of the less elementary aspects of dg-categories. There are surely many imprecisions, ramblings and typos.

Friends

My friends and colleagues in Antwerp: Violeta Borges Marques, Lander Hermans, Arne Mertens, Julie Symons, ...

Fish

The fish in the background is a betta splendens.

2023-2024

Hilbert and Fourier

I am teaching assistant for the course Hilbert spaces and Fourier series at the University of Antwerp, taught by Wim Vanroose. Link

2022-2023

Algebraic Topology

I was teaching assistant for the course Algebraic Topology at the University of Antwerp, taught by Jens Hemelaer. Link

2020-2021

Calcolo I

I was teaching assistant for the course Calculus I at Sapienza University, taught by Luigi Orsina.

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i = 0;

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

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

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Item One Ante turpis integer aliquet porttitor. 29.99
Item Two Vis ac commodo adipiscing arcu aliquet. 19.99
Item Three Morbi faucibus arcu accumsan lorem. 29.99
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Name Description Price
Item One Ante turpis integer aliquet porttitor. 29.99
Item Two Vis ac commodo adipiscing arcu aliquet. 19.99
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Item Four Vitae integer tempus condimentum. 19.99
Item Five Ante turpis integer aliquet porttitor. 29.99
100.00

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