Juan Moreno

Postdoctroal Research Associate

Education

Ph.D., in Mathematics, University of Colorado, Boulder - 2025
B.Sc. in Physics, University of Texas, Austin - 2018
B.Sc. in Mathematics, University of Texas, Austin - 2018

Research Group

Topology

Research Area

Algebraic topology and stable homotopy theory

Bio

Research Interests:

My research interests lie generally in algebraic topology and stable homotopy theory. My work currently focuses on the intersection of stable equivariant and chromatic homotopy theory. I am also interested in interactions between algebraic topology and physics.

Selected Publications: 

• Mar. 2024 (with Agnès Beaudry, Michael Hermele, Markus J. Pflaum, Marvin Qi, and Daniel D. Spiegel). “Homotopical foundations of parametrized quantum spin systems”. In: Reviews in Mathematical Physics. issn: 1793-6659. doi: 10.1142/s0129055x24600031 2.
• Sept. 2023 (with Xueda Wen, Marvin Qi, Agn`es Beaudry, Markus J. Pflaum, Daniel Spiegel, Ashvin Vishwanath, and Michael Hermele). “Flow of higher Berry curvature and bulk-boundary correspondence in parametrized quantum systems”. In: Physical Review B 108.12, p. 125147. issn: 2469-9969. doi: 10.1103/physrevb.108.
  125147 2.
• Aug. 2022 (with Daniel Spiegel, Marvin Qi, Michael Hermele, Agnès Beaudry, and Markus J. Pflaum). “Continuous dependence on the initial data in the Kadison transitivity theorem and GNS construction”. In: Reviews in Mathematical Physics 34.09. issn: 1793-6659. doi: 10.1142/s0129055x22500313 2.