Research

Publications (and articles accepted for publication):

1. Framing Triangulations and Framing Posets of Planar DAGs with Nontrivial Netflow Vectors -- J. Berggren (2025), 36 pp., to appear in Combinatorial Theory 

2. Flows on Gentle Algebras -- J. Berggren (2025), 84 pp., to appear in Algebraic Combinatorics

3. Unbounded Matroids -- J. Berggren, J. Martin, J. Samper,  European Journal of Combinatorics 133 (2026), Paper No. 104298, 28 pp.; MR4997570

4. Consistent Dimer Models on Surfaces with Boundary -- J. Berggren, K. Serhiyenko, Forum Math. Sigma 13 (2025), Paper No. e114, 44 pp.; MR4930382

Preprints and Submitted Papers:

1. Framing Triangulations for Arbitrary Integer Flow Polytopes -- J. Berggren (2026), 31 pp.

2. On the Common Generalization of Gentle Algebras and Framed Directed Acyclic Graphs -- J. Berggren (2026), 48 pp.

3. Classical tilting and tau-tilting theory via duplicated algebras -- J. Berggren, K. Serhiyenko (2025), 24 pp.

4. Locally anti-blocking g-polytopes for flow polytopes -- J. Berggren, B. Braun, A. Cornejo, J. F. McElroy, C. Napier, Z. Peterson, W. Rizer, K. Serhiyenko, M. Yip (2026), 37 pp.

5. Boundary Algebras of Positroids -- J. Berggren, K. Serhiyenko (2024), 30 pp.

Published conference proceedings:

1. Turbulence Polyhedra -- J. Berggren, Séminaire Lotharingien de Combinatoire, Vol. 93b (2025)

2. Combinatorics of Boundary Algebras -- J. Berggren, J. Boretsky, Séminaire Lotharingien de Combinatoire, Vol. 91b (2024)

3. Wilting Theory of Flow Polytopes -- J. Berggren, K. Serhiyenko, Séminaire Lotharingien de Combinatoire, Vol. 91b (2024)