Not reaching ADC interrupt after enabling/starting conversion.

I am using the MSP430FR5725.  My code involves a pwm.  On its high signal, I am turning on a pin, then enabling an ADC conversion, but after enabling the conversion, it does not go to the ISR.  Below is my ADC initialization, PWM initialization, timer ISR, and my ADC ISR.

void adc_init()
{
 //Disable ENC to set bits
 ADC10CTL0 &= ~ADC10ENC;
 //Hold time, ADC on
 ADC10CTL0 |= ADC10SHT_0 + ADC10ON + ADC10IE;
 //Sequence of channels, SMCLK, hold pulse
 ADC10CTL1 |= ADC10CONSEQ_1 + ADC10SSEL_3 + ADC10SHP;
 //10-bit conversion results
 ADC10CTL2 = ADC10RES;
 //Vref set
 ADC10MCTL0 |= ADC10SREF_0 + ADC10INCH_15;
}

void pwm_init(void)
{
 //PWM sleep mode, 50ms period
 TA1CCR0 = 50000;
 //1% duty cycle, HI 500us
 TA1CCR1 = 500;
 //SMCLK, div 1, UP mode, clear timer
 TA1CTL = TASSEL_2 + ID_0 + MC_1 + TACLR;
 //Disable interrupt for CCR0, out = rst/set
 TA1CCTL0 = OUTMOD_7 + !CCIE;
}

#pragma vector = TIMER1_A0_VECTOR
__interrupt void TA1_CCR0_ISR(void)
{
 //Toggle receiver
 PJOUT_PDN ^= RX_PDN;

//Enable and start ADC conversion
 ADC10CTL0 |= ADC10ENC + ADC10SC;
}

#pragma vector = ADC10_VECTOR
__interrupt void ADC_ISR(void)
{

  //Save A14, Rx RSSI
  if(adc_count == 14){
    //Save RSSI voltage
    rssi_result = ADC10MEM0;

    if(rssi_result >= 240){
      //////////////////
      //System Wake-Up//
      //////////////////

      //Activate system. Wake Up
      G_AWAKE = 1;
      PJOUT_PDN |= RX_PDN;

      //Exit low power mode
      _BIC_SR(LPM0_EXIT);

      //Reset time-out interrupts
      timer_count = 0;
      TA0CTL |= TACLR;

      // Enable interrupts for CCR0.
      TA0CCTL0 = CCIE;
    }
  }

  else if(adc_count == 0){
    //Reset count
    adc_count = 15;

    //Clear flag
    ADC10IFG = 0;
  }
}

I have the PWM timer interrupt disabled in the initialization, but I enable it in main, then go into PWM.  I am reading in a few analog channels, so I'm using CONSEQ_1.  I deleted a couple statements in my ADC ISR (if statements for saving different values), but left the one that is most important.  Does anyone have any idea why I'm enabling and starting the conversion, but nothing happens.  I have checked the ADC10MEM0 register and nothing is stored in it, so it's not going reading anything.