Professor
Albrecht
Klemm
School of Mathematical and Physical Sciences
Leverhulme International Professor
a.klemm@sheffield.ac.uk
Hicks Building
Full contact details
Professor Albrecht Klemm
Hicks Building
School of Mathematical and Physical Sciences
Hicks Building
Hounsfield Road
Sheffield
S3 7RH
- Publications
-
Journal articles
- Quantum geometry and mock modularity. COMMUNICATIONS IN NUMBER THEORY AND PHYSICS, 20(1), 97-148.
- . Journal of High Energy Physics, 2025(8).
- . Nature, 641(8063), 603-607.
- . Communications in Mathematical Physics, 405(6).
- . Communications in Mathematical Physics, 405(3).
- Quantum geometry, stability and modularity. COMMUNICATIONS IN NUMBER THEORY AND PHYSICS, 18(1), 49-151.
- . Journal of High Energy Physics, 2021(5).
- . Journal of High Energy Physics, 2021(5).
- . Journal of High Energy Physics, 2021(3).
- . Journal of High Energy Physics, 2020(4).
- . Journal of High Energy Physics, 2019(12).
- . Journal of High Energy Physics, 2019(11).
- . Journal of High Energy Physics, 2019(8).
- . Journal of Physics A: Mathematical and Theoretical, 52(7), 075402-075402.
- . Journal of High Energy Physics, 2018(3).
- . Journal of High Energy Physics, 2018(1).
- . Communications in Mathematical Physics, 359(2), 535-601.
- . Journal of High Energy Physics, 2017(5).
- . Journal of High Energy Physics, 2015(10).
- . Journal of High Energy Physics, 2015(10).
- . Nuclear Physics B, 898, 681-692.
- . Communications in Mathematical Physics, 339(3), 773-814.
- . Fortschritte der Physik, 63(5), 294-322.
- . Journal of High Energy Physics, 2015(2).
- . Communications in Mathematical Physics, 336(2), 987-1051.
- . Communications in Mathematical Physics, 328(3), 903-954.
- . Letters in Mathematical Physics, 104(8), 953-989.
- . Zeitschrift für Naturforschung A, 68(1-2), 178-209.
- . Journal of High Energy Physics, 2013(11).
- . Annales Henri Poincaré, 14(3), 425-497.
- Direct integration for general Ω backgrounds. ADVANCES IN THEORETICAL AND MATHEMATICAL PHYSICS, 16(3), 805-849.
- . Journal of High Energy Physics, 2011(5).
- . Nuclear Physics B, 838(3), 458-491.
- . Journal of High Energy Physics, 2010(10).
- . Journal of High Energy Physics, 2010(7).
- . Journal of High Energy Physics, 2010(4).
- . Communications in Mathematical Physics, 296(3), 589-623.
- . Journal of High Energy Physics, 2010(1).
- . Nuclear Physics B, 819(3), 400-430.
- . Nuclear Physics B, 816(1-2), 139-184.
- . Communications in Mathematical Physics, 287(1), 117-178.
- . Communications in Mathematical Physics, 281(3), 621-653.
- . Communications in Mathematical Physics, 280(1), 27-76.
- . Communications in Mathematical Physics, 277(3), 771-819.
- . Communications in Mathematical Physics, 261(2), 451-516.
- Matrix model eigenvalue integrals and twist fields in the su(2)-WZW model - art. no. 107. JOURNAL OF HIGH ENERGY PHYSICS(10).
- . Communications in Mathematical Physics, 254(2), 425-478.
- . International Journal of Modern Physics A, 19(12), 1987-2014.
- Higher order loop equations for Ar and Dr quiver matrix models - art. no. 033. JOURNAL OF HIGH ENERGY PHYSICS(3).
- . Zeitschrift für Naturforschung A, 57(1-2), 1-28.
- . Nuclear Physics B, 620(1-2), 237-258.
- . Nuclear Physics B, 609(1-2), 3-45.
- . Nuclear Physics B, 558(1-2), 178-204.
- . Advances in Theoretical and Mathematical Physics, 3(5), 1445-1537.
- . Advances in Theoretical and Mathematical Physics, 3(3), 495-565.
- . Nuclear Physics B, 521(1-2), 58-70.
- . Nuclear Physics B, 518(3), 515-574.
- . Nuclear Physics B, 497(1-2), 173-195.
- . Nuclear Physics B, 483(1-2), 209-228.
- . International Journal of Modern Physics A, 11(11), 1929-1973.
- . Nuclear Physics B, 477(3), 746-764.
- . Nuclear Physics B, 469(1-2), 37-50.
- . Nuclear Physics B, 459(3), 537-555.
- . Nuclear Physics B, 456(1-2), 153-204.
- . Physics Letters B, 357(3), 313-322.
- . Communications in Mathematical Physics, 167(2), 301-350.
- . Physics Letters B, 344(1-4), 169-175.
- . Nuclear Physics B, 433(3), 501-552.
- . Modern Physics Letters A, 09(20), 1807-1817.
- . Nuclear Physics B, 411(2-3), 559-583.
- . Communications in Mathematical Physics, 153(3), 579-604.
- . Theoretical and Mathematical Physics, 95(2), 583-594.
- . Nuclear Physics B, 389(1), 153-180.
- . International Journal of Modern Physics A, 07(10), 2245-2264.
- . International Journal of Modern Physics A, 07(25), 6215-6244.
- . Annals of Physics, 214(2), 221-257.
- . Annals of Physics, 204(1), 1-51.
- . Physics Letters B, 245(1), 53-58.
- . Zeitschrift für Physik C: Particles and Fields, 46(1), 71-74.
- . Physics Letters B, 232(3), 317-322.
- . Annals of Physics, 194(2), 303-335.
- . Zeitschrift für Physik C Particles and Fields, 40(4), 591-598.
- 'Caryophyllus' (from clove stem oil). JUSTUS LIEBIGS ANNALEN DER CHEMIE, 369(1/3), 41-62.
- . Journal of High Energy Physics, 2026(6).
- . Journal of High Energy Physics, 2025(7).
- . Journal of High Energy Physics, 2024(7).
- . Physical Review D, 109(12).
- . Journal of High Energy Physics, 2024(3).
- . SciPost Physics, 16(3).
- . Journal of High Energy Physics, 2023(2).
- . Physical Review Letters, 130(4).
- . Journal of High Energy Physics, 2022(9).
- . Journal of High Energy Physics, 2022(9).
- . Journal of High Energy Physics, 2021(11).
- . Journal of High Energy Physics, 2021(1).
- . Journal of High Energy Physics, 2020(7).
- . Journal of the American Mathematical Society, 23(4), 1013-1040.
- . Physical Review D, 79(6).
- . Journal of High Energy Physics, 2009(01), 029-029.
- . Journal of High Energy Physics, 2008(10), 097-097.
- . Journal of High Energy Physics, 2008(10), 077-077.
- . Journal of High Energy Physics, 2007(09), 054-054.
- . Journal of High Energy Physics, 2007(08), 058-058.
- . Journal of High Energy Physics, 2005(05), 023-023.
- . Journal of High Energy Physics, 2005(05), 007-007.
- . Journal of High Energy Physics, 2004(03), 033-033.
- . Journal of High Energy Physics, 2004(02), 010-010.
- . Journal of High Energy Physics, 2003(05), 066-066.
- . Journal of High Energy Physics, 2003(03), 051-051.
Book chapters
- , Trends in Mathematics (pp. 79-397). Springer International Publishing
- , Homological Mirror Symmetry (pp. 1-58). Springer Nature
- , Lecture Notes in Physics (pp. 235-280). Springer Berlin Heidelberg
Conference proceedings
- (pp 1-58)
- . Proceedings of RTN Winter School on Strings, Supergravity and Gauge Theories — PoS(RTN2005) (pp 002-002), 31 January 2005.
- . Fortschritte der Physik, Vol. 53(7-8) (pp 720-769)
- . Nuclear Physics B - Proceedings Supplements, Vol. 58 (pp 177-194)
- A note on ODEs from mirror symmetry. FUNCTIONAL ANALYSIS ON THE EVE OF THE 21ST CENTURY, VOL II, Vol. 132 (pp 301-323)
Preprints
- Geometry and Arithmetic of Special Loci in the Moduli Spaces of Type II String Theory.
- Refined BPS numbers on compact Calabi-Yau threefolds from Wilson loops.
- Calabi-Yau Period Geometry and Restricted Moduli in Type II Compactifications.
- Emergence of Calabi-Yau manifolds in high-precision black hole scattering.
- Geometry from Integrability: Multi-Leg Fishnet Integrals in Two Dimensions.
- Calabi-Yau periods for black hole scattering in classical general relativity.
- Quantum geometry and mock modularity.
- The Basso-Dixon Formula and Calabi-Yau Geometry.
- Non-perturbative topological string theory on compact Calabi-Yau 3-folds.
- Quantum geometry, stability and modularity.
- The ice cone family and iterated integrals for Calabi-Yau varieties.
- Topological Strings on Non-Commutative Resolutions.
- Yangian-invariant fishnet integrals in 2 dimensions as volumes of Calabi-Yau varieties.
- Time reversal and $boldsymbol{CP}$ invariance in Calabi-Yau compactifications.
- D-brane masses at special fibres of hypergeometric families of Calabi-Yau threefolds, modular forms, and periods.
- Feynman Integrals in Dimensional Regularization and Extensions of Calabi-Yau Motives.
- State counting on fibered CY-3 folds and the non-Abelian Weak Gravity Conjecture.
- Towards Refining the Topological Strings on Compact Calabi-Yau 3-folds.
- Analytic Structure of all Loop Banana Amplitudes.
- Elliptic Blowup Equations for 6d SCFTs. IV: Matters.
- Lost Chapters in CHL Black Holes: Untwisted Quarter-BPS Dyons in the $mathbb{Z}_2$ Model.
- The $l$-loop Banana Amplitude from GKZ Systems and relative Calabi-Yau Periods.
- Elliptic Blowup Equations for 6d SCFTs. III: E-strings, M-strings and Chains.
- Topological strings on genus one fibered Calabi-Yau 3-folds and string dualities.
- Elliptic Blowup Equations for 6d SCFTs. II: Exceptional Cases.
- Swampland Distance Conjecture for One-Parameter Calabi-Yau Threefolds.
- WKB Method and Quantum Periods beyond Genus One.
- Topological Strings on Singular Elliptic Calabi-Yau 3-folds and Minimal 6d SCFTs.
- Modular Amplitudes and Flux-Superpotentials on elliptic Calabi-Yau fourfolds.
- Effective action from M-theory on twisted connected sum $G_2$-manifolds.
- Refined BPS invariants of 6d SCFTs from anomalies and modularity.
- Exact solutions to quantum spectral curves by topological string theory.
- Direct Integration for Mirror Curves of Genus Two and an Almost Meromorphic Siegel Modular Form.
- Topological String on elliptic CY 3-folds and the ring of Jacobi forms.
- Strings of Minimal 6d SCFTs.
- On the motivic stable pairs invariants of K3 surfaces.
- Landscaping with fluxes and the E8 Yukawa Point in F-theory.
- Knot Invariants from Topological Recursion on Augmentation Varieties.
- Quantum geometry of del Pezzo surfaces in the Nekrasov-Shatashvili limit.
- Refined stable pair invariants for E-, M- and [p,q]-strings.
- Torus Knots and the Topological Vertex.
- The refined BPS index from stable pair invariants.
- ABJM Wilson loops in the Fermi gas approach.
- Quantum geometry of elliptic Calabi-Yau manifolds.
- The Omega deformed B-model for rigid N=2 theories.
- Wall-crossing holomorphic anomaly and mock modularity of multiple M5-branes.
- Five-Brane Superpotentials, Blow-Up Geometries and SU(3) Structure Manifolds.
- Direct integration for general Omega backgrounds.
- Direct Integration and Non-Perturbative Effects in Matrix Models.
- Five-Brane Superpotentials and Heterotic/F-theory Duality.
- Computing Brane and Flux Superpotentials in F-theory Compactifications.
- Solving the Topological String on K3 Fibrations.
- Holomorphicity and Modularity in Seiberg-Witten Theories with Matter.
- The D5-brane effective action and superpotential in N=1 compactifications.
- Seiberg-Witten theory and matrix models.
- Integrability of the holomorphic anomaly equations.
- Topological open strings on orbifolds.
- U(1) Mediation of Flux Supersymmetry Breaking.
- Topological Strings on Grassmannian Calabi-Yau manifolds.
- Remodeling the B-model.
- Black Holes and Large Order Quantum Geometry.
- Direct Integration of the Topological String.
- Enumerative geometry of Calabi-Yau 4-folds.
- Topological String Theory on Compact Calabi-Yau: Modularity and Boundary Conditions.
- Topological Strings and (Almost) Modular Forms.
- Holomorphic Anomaly in Gauge Theories and Matrix Models.
- Counting BPS states on the Enriques Calabi-Yau.
- Matrix model eigenvalue integrals and twist fields in the su(2)-WZW model.
- Open/Closed String Duality for Topological Gravity with Matter.
- Topological String Amplitudes, Complete Intersection Calabi-Yau Spaces and Threshold Corrections.
- Topological Strings and Integrable Hierarchies.
- Higher order loop equations for A_r and D_r quiver matrix models.
- The Topological Vertex.
- Constructing Gauge Theory Geometries from Matrix Models.
- Gravitational corrections in supersymmetric gauge theory and matrix models.
- Matrix Model as a Mirror of Chern-Simons Theory.
- Fluxes in Heterotic and Type II String Compactifications.
- Disk Instantons, Mirror Symmetry and the Duality Web.
- On the Vacuum Structure of Type II String Compactifications on Calabi-Yau Spaces with H-Fluxes.
- M-Theory, Topological Strings and Spinning Black Holes.
- Local Mirror Symmetry at Higher Genus.
- Towards the Standard Model spectrum from elliptic Calabi-Yau.
- Local Mirror Symmetry: Calculations and Interpretations.
- On Type IIB Vacua With Varying Coupling Constant.
- Calabi-Yau Duals for CHL Strings.
- On the Geometry behind N=2 Supersymmetric Effective Actions in Four Dimensions.
- Calabi-Yau fourfolds for M- and F-Theory compactifications.
- Geometric Engineering of Quantum Field Theories.
- BPS States of Exceptional Non-Critical Strings.
- New Higgs Transitions between Dual N=2 String Models.
- Self-Dual Strings and N=2 Supersymmetric Field Theory.
- Strong Coupling Singularities and Non-abelian Gauge Symmetries in $N=2$ String Theory.
- Nonperturbative Results on the Point Particle Limit of N=2 Heterotic String Compactifications.
- K3--Fibrations and Heterotic-Type II String Duality.
- Mirror Symmetry and the Moduli Space for Generic Hypersurfaces in Toric Varieties.
- Nonperturbative Effective Actions of N=2 Supersymmetric Gauge Theories.
- On the Monodromies of N=2 Supersymmetric Yang-Mills Theory.
- Simple Singularities and N=2 Supersymmetric Yang-Mills Theory.
- A Note on ODEs from Mirror Symmetry.
- Mirror Symmetry, Mirror Map and Applications to Complete Intersection Calabi-Yau Spaces.
- Lectures on Mirror Symmetry.
- Mirror Symmetry, Mirror Map and Applications to Calabi-Yau Hypersurfaces.
- Mirror Maps and Instanton Sums for Complete Intersections in Weighted Projective Space.
- Recent Efforts in the Computation of String Couplings:.
- Comment on the Generation Number in Orbifold Compactifications.
- Considerations of One-Modulus Calabi-Yau Compactifications: Picard-Fuchs Equations, Kähler Potentials and Mirror Maps.
- Landau-Ginzburg String Vacua.