My research is
centered on **string theory** — a candidate for the ambitious task
of unifying all forces and matter, and of quantizing gravity. In
its most popular phase, this theory predicts six additional dimensions
beyond the four we have observed so far. Most of my work concerns the
"shape" of the tiny space spanned by these dimensions. I am
particularly interested in the consequences of **supersymmetry**, a
proposed new elementary symmetry that would explain some of the
paradoxes of modern high-energy physics.

- My most important
result is the characterization (with M. Graña, R. Minasian, M. Petrini) of the requirements imposed by
supersymmetry on the six-dimensional space in terms of a "
**generalized complex geometry**" that had been previously studied by mathematicians. - I have clarified the nature of "massive" IIA string theory, the last corner of string theory without any known non-perturbative completion, by finding gauge theories (with D. Gaiotto) which are dual to some of its supersymmetric vacua.
- More recently, I have obtained characterizations of which curved spaces can support a supersymmetric field theory (with D. Cassani, K. Hristov, C. Klare, D. Martelli, A. Zaffaroni). For example, I showed that any complex four-dimensional manifold works.
- Also recently, I found gravity duals to six-dimensional field theories (with F. Apruzzi, M. Fazzi, D. Gaiotto, D. Rosa).
- I have also worked on several other aspects of string theory, such as the dynamics of D-branes on Calabi-Yau manifolds, non-commutativity, brane instantons.

To learn more:

- A short, impressionistic talk from '07.
- Some more advanced lecture notes (originally held at LACES '09, GGI, Florence.)

Selected papers*

** 6d Conformal Matter **

Michele del Zotto, Jonathan Heckman, Alessandro Tomasiello and Cumrun Vafa [1407.6359 [hep-th]]

** All AdS7 solutions of type II supergravity **

Fabio Apruzzi, Marco Fazzi, Dario Rosa and Alessandro Tomasiello [1309.2949 [hep-th]]

** Supersymmetry on Curved Spaces and Holography **

Claudius Klare, Alessandro Tomasiello and Alberto Zaffaroni [1205.1062 [hep-th]]

** Generalized structures of ten-dimensional supersymmetric solutions **

Alessandro Tomasiello [1109.2603 [hep-th]]

** Massive type IIA string theory
cannot be strongly coupled **

Ofer Aharony, Daniel Jafferis, Alessandro Tomasiello and Alberto
Zaffaroni [1007.2451
[hep-th]]

** The gauge dual of Romans mass **

Davide Gaiotto, Alessandro Tomasiello [0901.0969 [hep-th]]

** The general (2,2) gauged sigma
model with three-form flux**

Anton Kapustin, Alessandro Tomasiello [hep-th/0610210]

** Complex/symplectic mirrors**

Wu-yen Chuang, Shamit Kachru, Alessandro Tomasiello [hep-th/0510042]

** Generalized structures of N=1
vacua**

Mariana Grana, Ruben Minasian, Michela Petrini, Alessandro Tomasiello [hep-th/0505212]

** D-branes on Calabi-Yau
manifolds and superpotentials**

Michael Douglas, Suresh Govindarajan, T. Jayaraman, Alessandro
Tomasiello
[hep-th/0203173]

** D-branes on Calabi-Yau
manifolds and helices **

Alessandro Tomasiello
[hep-th/0010217]