Publications and Preprints
Theses
M. Liu, E. Peltola, and H. Wu. Uniform Spanning Tree in Topological Polygons, Partition Functions for SLE(8),
and Correlations in c=−2 Logarithmic CFT
PDF: http://arxiv.org/abs/2108.04421.
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S. M. Flores and E. Peltola. Higher-spin quantum and classical Schur-Weyl duality for sl_2.
PDF: http://arxiv.org/abs/2008.06038.
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E. Peltola. and Y. Wang. Large deviations of multichordal SLE0+, real rational functions,
and zeta-regularized determinants of Laplacians.
J. Eur. Math. Soc., to appear, 2021.
PDF: http://arxiv.org/abs/2006.08574.
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E. Peltola. Towards a conformal field theory for Schramm-Loewner evolutions.
J. Math. Phys. 60(10): 103305, 2019. (Special Collection: XIX:th ICMP). [DOI: 10.1063/1.5094364]
PDF: http://arxiv.org/abs/1910.05796.
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S. M. Flores and E. Peltola. Generators, projectors, and the Jones-Wenzl algebra.
PDF: http://arxiv.org/abs/1811.12364.
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E. Peltola and H. Wu. Crossing probabilities of multiple Ising interfaces.
PDF: http://arxiv.org/abs/1808.09438.
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S. M. Flores and E. Peltola. Standard modules, radicals, and the valenced Temperley-Lieb algebra.
PDF: http://arxiv.org/abs/1801.10003.
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V. Beffara, E. Peltola, and H. Wu. On the uniqueness of global multiple SLEs.
Ann. Probab., 49(1): 400-434, 2021. [DOI: 10.1214/20-AOP1477]
PDF: http://arxiv.org/abs/1801.07699.
A. Karrila, K. Kytölä, and E. Peltola. Conformal blocks, q-combinatorics, and quantum group symmetry.
Ann. Inst. Henri Poincaré D. 6(3): 449-487, 2019. [DOI: 10.4171/AIHPD/88]
PDF: http://arxiv.org/abs/1709.00249.
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E. Peltola and H. Wu. Global and local multiple SLEs for κ ≤ 4 and connection probabilities for level lines of GFF.
Comm. Math. Phys. 366(2): 469-536, 2019. [DOI: 10.1007/s00220-019-03360-4]
PDF: http://arxiv.org/abs/1703.00898.
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A. Karrila, K. Kytölä, and E. Peltola. Boundary correlations in planar LERW and UST.
Comm. Math. Phys. 376(3): 2065-2145, 2020. [DOI: 10.1007/s00220-019-03615-0]
PDF: http://arxiv.org/abs/1702.03261.
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E. Peltola. Basis for solutions of the Benoit & Saint-Aubin PDEs with particular asymptotic properties.
Ann. Inst. Henri Poincaré D. 7(1): 1-73, 2020. [DOI: 10.4171/AIHPD/81]
PDF: http://arxiv.org/abs/1605.06053.
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K. Kytölä and E. Peltola. Pure partition functions of multiple SLEs.
Comm. Math. Phys. 346(1): 237-292, 2016. [DOI: 10.1007/s00220-016-2655-2]
PDF: http://arxiv.org/abs/1506.02476.
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K. Kytölä and E. Peltola. Conformally covariant boundary correlation functions with a quantum group.
J. Eur. Math. Soc. 22(1): 55-118, 2020. [DOI: 10.4171/JEMS/917]
PDF: http://arxiv.org/abs/1408.1384.
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PhD Thesis:
Applications of quantum groups to conformally invariant random geometry. University of Helsinki, 2016.
Download introductory part: PhD_thesis.pdf
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Master's Thesis:
An explicit relation between monodromy of the Knizhnik-Zamolodchikov equations and braiding of quantum sl2. University of Helsinki, 2012. Download: gradu.pdf