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The 15th International Pure Mathematics Conference 2014 (15th IPMC 2014) is the 15th international conference in the series of pure mathematics conferences that take place in Islaqmabad every year in August/September. It is a thematic conference which is held under the auspices of the Pakistan Mathematical Society, ( http://www.pakms.org.pk ) and Algebra Forum. ( http://www.algebraforum.org.pk ). It will provide a stimulating opportunity to meet experts from various countries in a variety of branches of pure mathematics.