List of early preparatory topics:
Category I: basics (B)
Basics of nonlinear dynamics -> Abby, Stefano’s TA (morning day 1 and afternoon week 1 day 1)
Basics of probability theory / stochastic processes -> Jacopo Grilli (morning week 2 day 1)
Category II: new topics common to multiple lectures (A)
Exponential, Logistic growth and Allee effect -> Daniel Amor (morning/afternoon day 1)
Generalized Lotka-Volterra (competitive mainly) -> Stefano Allesina (afternoon day 1)
MacArthur consumer-resource models (competitive and cross-feeding) -> Akshit Goyal (morning day 2)
List of main lecture topics:
Daniel Amor — Growth models, cooperative growth and bistability, response to perturbations and extension to N species
Sara Mitri — types of interactions and how to measure them in the lab; LV vs. CRMs; content-dependent interactions; spatial patterns; long-term eco-evolution with lab examples and models
Stefano Allesina — stability; robustness of coexistence; habitat modification; environmental feedbacks
Gaurav Kandlikar and Meghna Krishnadas — comparing models and testing theories with field studies
Vishwesha Guttal — stochastic eco-evolutionary dynamics, with applications to tipping points and/or collective animal behaviour
Jacopo Grilli — stochastic dynamics; neutral theory; fitting models to data; eco-evolutionary dynamics
Priyanga Amarasekare — Interplay between non-linearity and variability in maintaining diversity; R* and P* rules, functional responses; trade offs; spatial variation; storage effect and temperature variation
Sergei Maslov — temporal niches; time-varying resource utilization strategies; beating competitive exclusion and r-K tradeoffs; engineering diversity
Matthieu Barbier — Ecological networks & disordered interactions, Macroecological and multitrophic patterns, Mathematical and conceptual paths towards synthesis