About me
I am a fourth year PhD student at the University of Antwerp and SISSA, under the supervision of Wendy Lowen and NicolĂ˛ 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, I am currently working on developing a deformation theory for (enhanced) triangulated categories with the goal of understanding the relation between deformations of a dgalgebra and deformations of its derived category. If you are interested in the topic, here are the slides from a presentation
I did in Antwerp introducing the problem in general terms and here is a poster that explains my recent research in more detail.
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 dgcategories. There are surely many imprecisions, ramblings and typos.
People
My research group in Antwerp: Violeta Borges Marques, Lander Hermans, Arne Mertens, Julie Symons, ...
Fish
The fish in the background is a betta splendens.
20232024
Hilbert and Fourier
I was teaching assistant for the course Hilbert spaces and Fourier series at the University of Antwerp, taught by Wim Vanroose. Link
20222023
Algebraic Topology
I was teaching assistant for the course Algebraic Topology at the University of Antwerp, taught by Jens Hemelaer. Link
20202021
Calcolo I
I was teaching assistant for the course Calculus I at Sapienza University, taught by Luigi Orsina.
Algebraic Topology
Here are some exercise sessions that I prepared for the course.
Session 1
Session 2
Session 3
Session 4
Session 5
Session 6
Session 7
Session 8
Session 9
Session 10
Hilbert and Fourier
Here are some exercise sessions that I prepared for the course.
Session 2
Session 3
Sessions 4 and 5
Elements
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This is bold and this is strong. This is italic and this is emphasized.
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This is underlined and this is code: for (;;) { ... }
. Finally, this is a link.
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Blockquote
Fringilla nisl. Donec accumsan interdum nisi, quis tincidunt felis sagittis eget tempus euismod. Vestibulum ante ipsum primis in faucibus vestibulum. Blandit adipiscing eu felis iaculis volutpat ac adipiscing accumsan faucibus. Vestibulum ante ipsum primis in faucibus lorem ipsum dolor sit amet nullam adipiscing eu felis.
Preformatted
i = 0;
while (!deck.isInOrder()) {
print 'Iteration ' + i;
deck.shuffle();
i++;
}
print 'It took ' + i + ' iterations to sort the deck.';
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Ordered
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19.99 
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Name 
Description 
Price 
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29.99 
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19.99 
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Morbi faucibus arcu accumsan lorem. 
29.99 
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Vitae integer tempus condimentum. 
19.99 
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Ante turpis integer aliquet porttitor. 
29.99 

100.00 